SAT CollegeBoard Practice Test (1-8) Data Analysis

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1. (Test $3 / Q 15 /$ Calculator)

In order to determine if treatment $X$ is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight, 300 participants were selected at random. Half of the participants were randomly assigned to receive treatment $X$, and the other half did not receive treatment $\mathrm{X}$. The resulting data showed that participants who received treatment $X$ had significantly improved eyesight as compared to those who did not receive treatment $\mathrm{X}$. Based on the design and results of the study, which of the following is an appropriate conclusion?
A) Treatment $X$ is likely to improve the eyesight of people who have poor eyesight.
B) Treatment $X$ improves eyesight better than all other available treatments.
C) Treatment $X$ will improve the eyesight of anyone who takes it.
D) Treatment $X$ will cause a substantial improvement in eyesight.





2. (Test3/Q 20/Calculator)

Swimming Time versus Heart Rate Michael swam 2,000 yards on each of eighteen days. The scatterplot above shows his swim time for and corresponding heart rate after each swim. The line of best fit for the data is also shown. For the swim that took 34 minutes, Michael's actual heart rate was about how many beats per minutes less than the rate predicted by the line of best fit?
A) 1
B) 2
C) 3
D) 4





3. (Test $4 / \mathrm{Q} 21 /$ Calculator)

Energy source The bar graph above shows renewable energy consumption in quadrillions of British thermal units (Btu) in the United States, by energy source, for several energy sources in the years 2000 and 2010 . In a scatterplot of this data, where renewable energy consumption in the year 2000 is plotted along the $x$-axis and renewable energy consumption in the year 2010 is plotted along the $y$-axis for each of the given energy sources, how many data points would be above the line $y=x$ ?
A) 1
B) 2
C) 3
D) 4





4. (Test4/C $22 /$ Calculator)

Energy source The bar graph above shows renewable energy consumption in quadrillions of British thermal units (Btu) in the United States, by energy source, for several energy sources in the years 2000 and 2010 . Of the following, which best approximates the percent decrease in consumption of wood power in the United States from 2000 to 2010 ?
A) $6 \%$
B) $11 \%$
C) $21 \%$
D) $26 \%$





5. (Test $4 / \mathrm{Q} 23 /$ Calculator)

The tables below give the distribution of high temperatures in degrees Fahrenheit ( ${ }^{\circ} \mathrm{F}$ ) for City $A$ and City B over the same 21 days in March. $$\text{City A}$$ $$\begin{array}{|c|c|} \hline \text{Temperature ( ${ }^{\circ} \mathrm{F}$ ) }& \text{Frequency }\\ \hline 80 & 3 \\ \hline 79 & 14 \\ \hline 78 & 2 \\ \hline 77 & 1 \\ \hline 76 & 1 \\ \hline \end{array}$$ $$\text{City B}$$ $$\begin{array}{|c|c|} \hline \text{Temperature $\left({ }^{\circ} \mathrm{F}\right)$ }& \text{Frequency} \\ \hline 80 & 6 \\ \hline 79 & 3 \\ \hline 78 & 2 \\ \hline 77 & 4 \\ \hline 76 & 6 \\ \hline \end{array}$$ Which of the following is true about the data shown for these 21 days?
A) The standard deviation of temperatures in City A is larger.
B) The standard deviation of temperatures in City $\mathrm{B}$ is larger.
C) The standard deviation of temperatures in City $A$ is the same as that of City $B$.
D) The standard deviation of temperatures in these cities cannot be calculated with the data provided.





6. (Test4/Q $27 /$ Calculator)

The relative bausing cost for a US city is defined to be the ratio $\frac{\text { arerage housing oast for the city }}{\text { national averuge housing cost }}$, expressed as a percent. The scatterplot abowe shows the eclative housing eost and the populathon deasity for several large US citles in the year 2005. The line of best fit is almo shown and has equation $y=0.0125 x+61$. Which of the following best explains how the mumber 61 in the equation relatess to the sxatterplot?
A) In 2005 , the lowest housing exst in the Uuited States was about 361 per month.
B) In 2006 , the loukest housing cost in the United States was about $61 \%$ of the highest housing cost.
C) In 2005 , even in cities with low population densities, bousing costs wete never below 61 श of the nat.jonal average,
D) In 2005 , even in cities with low popalation densities, bousing costs were libely at least $61 \%$ of the national average,





7. (Test5/Q 1/Calculator)

According to the line graph above, between which two consecutive years was there the greatest change in the number of 3-D movies released?
A) 2003-2004
B) 2008-2009
C) 2009-2010
D) 2010-2011





8. (Test5/Q 15/Calculator)

A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, "Are you satisfied with the quality of air in the city?" Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true? I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city. II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city. III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
A) None
B) II only
C) I and II only
D) I and III only





9. (Test5/Q $16 /$ Calculator)

$$\begin{array}{|l|c|} \hline \text{Species of tree }& G\text{rowth factor} \\ \hline \text{Red maple }& 4.5 \\ \hline\text{ River birch }& 3.5 \\ \hline \text{Cottonwood }& 2.0 \\ \hline \text{Black walnut} & 4.5 \\ \hline \text{White birch }& 5.0 \\ \hline \text{American clm} & 4.0 \\ \hline \text{Pin oak }& 3.0 \\ \hline \text{Shagbark hickory} & 7.5 \\ \hline \end{array}$$ One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees. According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches?
A) 24 years
B) 36 years
C) 40 years
D) 48 years





10. (Test5/Q $17 /$ Calculator)

$$\begin{array}{|l|c|} \hline \text{Species of tree }& G\text{rowth factor} \\ \hline \text{Red maple }& 4.5 \\ \hline\text{ River birch }& 3.5 \\ \hline \text{Cottonwood }& 2.0 \\ \hline \text{Black walnut} & 4.5 \\ \hline \text{White birch }& 5.0 \\ \hline \text{American clm} & 4.0 \\ \hline \text{Pin oak }& 3.0 \\ \hline \text{Shagbark hickory} & 7.5 \\ \hline \end{array}$$ One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
Tree Diameter versus Age The scatterplot above gives the tree diameter plotted against age for 26 trees of a single species. The growth factor of this species is closest to that of which of the following species of tree?
A) Red maple
B) Cottonwood
C) White birch
D) Shagbark hickory





11. (Test5/Q $18 /$ Calculator)

$$\begin{array}{|l|c|} \hline \text{Species of tree } & G\text{rowth factor} \\ \hline \text{Red maple }& 4.5 \\ \hline\text{ River birch }& 3.5 \\ \hline \text{Cottonwood }& 2.0 \\ \hline \text{Black walnut} & 4.5 \\ \hline \text{White birch }& 5.0 \\ \hline \text{American clm} & 4.0 \\ \hline \text{Pin oak }& 3.0 \\ \hline \text{Shagbark hickory} & 7.5 \\ \hline \end{array}$$ One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees. If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? ( 1 foot $=12$ inches)
A) $1.0$
B) $1.2$
C) $1.3$
D) $1.4$





12. (Test6/Q 6/Calculator)

Where Do People Get Most of Their Medical Information? $$\begin{array}{|l|c|} \hline\text{Source} & \text{Percent of those surveyed} \\ \hline \text{Doctor }& 63 \% \\ \hline \text{Internet} & 13 \% \\ \hline \text{Magazines/brochures }& 9 \% \\ \hline \text{Pharmacy }& 6 \% \\ \hline \text{Television }& 2 \% \\ \hline \text{Other/none of the above} & 7 \% \\ \hline \end{array}$$ The table above shows a summary of 1,200 responses to a survey question. Based on the table, how many of those surveyed get most of their medical information from either a doctor or the Internet?
A) 865
B) 887
C) 912
D) 926





13. (Test6/Q $7 /$ Calculator)

The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 500 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council's survey?
A) It shows that the majority of city residents are in favor of the dog park.
B) The survey sample should have included more residents who are dog owners.
C) The survey sample should have consisted entirely of residents who do not own dogs.
D) The survey sample is biased because it is not representative of all city residents.





14. (Test $6 / \mathrm{Q} 12 /$ Calculator)

Sunflower Growth $$\begin{array}{|c|c|} \hline \text{Day }& \text{Height (cm)} \\ \hline 0 & 0.00 \\ \hline 7 & 17.93 \\ \hline 14 & 36.36 \\ \hline 21 & 67.76 \\ \hline 28 & 98.10 \\ \hline 35 & 131.00 \\ \hline 42 & 169.50 \\ \hline 49 & 205.50 \\ \hline 56 & 228.30 \\ \hline 63 & 247.10 \\ \hline 70 & 250.50 \\ \hline 77 & 253.80 \\ \hline 84 & 254.50 \\ \hline \end{array}$$
In $1919, \mathrm{H}$ \& Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height $h$, in centimeters, of a sunflower $t$ days after the sunflower begins to grow. Over which of the following time periods is the average growth rate of the sunflower Jeast?
A) Day 0 to Day 21
B) Day 21 to Day 42
C) Diy 42 to Day 63
D) Day 63 to Day 84





15. (Test6/Q 13/Calculator)

Sunflower Growth $$\begin{array}{|c|c|} \hline \text{Day }& \text{Height (cm)} \\ \hline 0 & 0.00 \\ \hline 7 & 17.93 \\ \hline 14 & 36.36 \\ \hline 21 & 67.76 \\ \hline 28 & 98.10 \\ \hline 35 & 131.00 \\ \hline 42 & 169.50 \\ \hline 49 & 205.50 \\ \hline 56 & 228.30 \\ \hline 63 & 247.10 \\ \hline 70 & 250.50 \\ \hline 77 & 253.80 \\ \hline 84 & 254.50 \\ \hline \end{array}$$
In 1919, H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. lncluded in the paper were the table and graph above, which show the height $h$, in centimeters, of a sunflower $t$ days after the sunflower begins to grow. The function $h$, defined by $h(t)=a t+b$, where $a$ and $b$ are constants, models the height, in centimeters, of the sunflower after $t$ days of growth during a time period in which the growth is appraximately linear. What does a represent?
A) The predicted number of centimeters the sunflower grows each day during the period
B) The predicted beight, in centimeters, of the sanflawer at the beginning of the period
C) The predicted height, in centimeters, of the sanflower at the end of the period
D) The predicted total increase in the height of the sunflower, in centimeters, during the period





16. (Test6/Q 14/Calculator)

Sunflower Growth $$\begin{array}{|c|c|} \hline \text{Day }& \text{Height (cm)} \\ \hline 0 & 0.00 \\ \hline 7 & 17.93 \\ \hline 14 & 36.36 \\ \hline 21 & 67.76 \\ \hline 28 & 98.10 \\ \hline 35 & 131.00 \\ \hline 42 & 169.50 \\ \hline 49 & 205.50 \\ \hline 56 & 228.30 \\ \hline 63 & 247.10 \\ \hline 70 & 250.50 \\ \hline 77 & 253.80 \\ \hline 84 & 254.50 \\ \hline \end{array}$$
In $1919, \mathrm{H}, \&$. Reed and $\mathrm{R}$. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height $h$, in centimeters, of a sunflower 1 days after the sunflower begins to grow. The growth rate of the sunflower from day 14 to day 35 is nearly constant. On this interval, which of the following equations best models the height $h$, in centimeters, of the suntlower $t$ days after it begins to growe?
A) $h=2.1 t-15$
B) $h=4.5 t-27$
C) $h=6.8 t-12$
D) $h=13.2 t-18$





17. (Test6/Q 21/Calculator)

A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained 150 largemouth bass, of which $30 \%$ weighed more than 2 pounds. Which of the following conclusions is best supported by the sample data?
A) The majority of all fish in the pond weigh less than 2 pounds.
B) The average weight of all fish in the pond is approximately 2 pounds.
C) Approximately $30 \%$ of all fish in the pond weigh more than 2 pounds.
D) Approximately $30 \%$ of all largemouth bass in the pond weigh more than 2 pounds.





18. (Test $6 / Q$ 30/Calculator)

The scatterplot below shows the amount of electric energy generated, in millions of megawatt-hours, by nuclear sources over a 10-year period. Electric Energy Wenerated by Nuclear Sources
Of the following equations, which best models the data in the scatterplot?
A) $y=1.674 x^{2}+19.76 x-745.73$
B) $y=-1.674 x^{2}-19.76 x-745.73$
C) $y=1.674 x^{2}+19.76 x+745.73$
D) $y=-1.674 x^{2}+19.76 x+745.73$





19. (Test $6 / Q 36 /$ Calculator)

$$\text{Masses (kilograms)}$$ $$\begin{array}{|l|c|c|c|c|c|c|} \hline \text{Andrew} & 2.4 & 2.5 & 3.6 & 3.1 & 2.5 & 2.7 \\ \hline \text{Maria }& x & 3.1 & 2.7 & 2.9 & 3.3 & 2.8 \\ \hline \end{array}$$ Andrew and Maria each collected six rocks, and the masses of the rocks are shown in the table above. The mean of the masses of the rocks Maria collected is $0.1$ kilogram greater than the mean of the masses of the rocks Andrew collected. What is the value of $x$ ?


20. (Test7/Q 7/Calculator)

Distance and Density of Planetoids in the Inner Solar System Distance from the Sun (AU) The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown. According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density?
A) Planetoids that are more distant from the Sun tend to have lesser densities.
B) Planetoids that are more distant from the Sun tend to have greater densities.
C) The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid.
D) The distance from a planetoid to the Sun is unrelated to its density,





21. (Test7/Q 8/Calculator)

Distance and Density of Planetoids in the Inner Solar System The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown. An astronomer has discovered a new planetoid about $1.2 \mathrm{AU}$ from the Sun. According to the line of best fit, which of the following best approximates the density of the planetoid, in grams per cubic centimeter?
A) $3.6$
B) $4.1$
C) $4.6$
D) $5.5$





22. (Test7/Q 18/Calculator)

Income and Percent of Total Expenses Spent * on Programs for Ten Charities in 2011 Total income (millions of dollars) The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?
A) $10 \%$
B) $7 \%$
C) $4 \%$
D) $1 \%$





23. (Test $7 / \mathrm{Q} 21 /$ Calculator)

Total Protein and Total Fat for Eight Sandwiches The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of 1 gram in total protein?
A) $2.5$
B) $2.0$
C) $1.5$
D) $1.0$





24. (Test $7 / Q 22 /$ Calculator)

Percent of Residents Who Earned a Bachelor's Degree or Higher $$\begin{array}{|c|c|} \hline \text{State} & \text{Percent of residents }\\ \hline \text{State A }& 21.9 \% \\ \hline \text{State B} & 27.9 \% \\ \hline \text{State C} & 25.9 \% \\ \hline \text{State D} & 19.5 \% \\ \hline \text{State E }& 30.1 \% \\ \hline \text{State F }& 36.4 \% \\ \hline \text{State G }& 35.5 \% \\ \hline \end{array}$$ A survey was given to residents of all 50 states asking if they had earned a bachelor's degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was $26.95 \%$. What is the difference between the median percent of residents who earned a bachelor's degree or higher for these 7 states and the median for all 50 states?
A) $0.05 \%$
B) $0.95 \%$
C) $1.22 \%$
D) $7.45 \%$





25. (Test $7 / \mathrm{Q} 37 /$ Calculator)

Number of Contestants by Score and Day $$\begin{array}{|c|c|c|c|c|c|c|c|} \hline & \text{5 out of 5} & \text{4 out of 5 }& \text{3 out of 5 }& \text{2 out of 5 }& \text{1 out of 5 }& \text{0 out of 5} & \text{Total }\\ \hline \text{Day 1} & 2 & 3 & 4 & 6 & 2 & 3 & 20 \\ \hline \text{Day 2} & 2 & 3 & 5 & 5 & 4 & 1 & 20 \\ \hline \text{Day 3 }& 3 & 3 & 4 & 5 & 3 & 2 & 20 \\ \hline \text{Total} & 7 & 9 & 13 & 16 & 9 & 6 & 60 \\ \hline \end{array}$$ The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above. What was the mean score of the contestants on Day 1 ?


26. (Test7/Q 38/Calculator) $\def\iii#1#2#3{\begin{array}{c}\text{#1}\\\text{#2}\\\text{#3}\end{array}}$

Number of Contestants by Score and Day $$\begin{array}{|c|c|c|c|c|c|c|c|} \hline & \iii{5 }{out of}{ 5} & \iii{4 }{out of}{ 5 }& \iii{3} {out of}{ 5 }& \iii{2 }{out of}{ 5 }& \iii{1 }{out of}{ 5 }& \iii{0 }{out of}{ 5} & \text{Total }\\ \hline \text{Day 1} & 2 & 3 & 4 & 6 & 2 & 3 & 20 \\ \hline \text{Day 2} & 2 & 3 & 5 & 5 & 4 & 1 & 20 \\ \hline \text{Day 3 }& 3 & 3 & 4 & 5 & 3 & 2 & 20 \\ \hline \text{Total} & 7 & 9 & 13 & 16 & 9 & 6 & 60 \\ \hline \end{array}$$ The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above. No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of 5 on Day 2 or Day 3 , given that the contestant received a score of 5 on one of the three days?


27. (Test8/Q 4/Calculator)

The scatterplot above shows data collected on the lengths and widths of Iris setosa petals. A line of best fit for the data is also shown. Based on the line of best fit, if the width of an Iris setosa petal is 19 millimeters, what is the predicted length, in millimeters, of the petal?
A) $21.10$
B) $31.73$
C) $52.83$
D) $55.27$





28. (Test8/Q 18/Calculator)

The figure below shows the relationship between the percent of leaf litter mass remaining after decomposing for 3 years and the mean annual temperature, in degrees Celsius $\left({ }^{\circ} \mathrm{C}\right)$, in 18 forests in Canada. A line of best fit is also shown.
A particular forest in Canada, whose data is not included in the figure, had a mean annual temperature of $-2^{\circ} \mathrm{C}$. Based on the line of best fit, which of the following is closest to the predicted percent of leaf litter mass remaining in this particular forest after decomposing for 3 years?
A) $50 \%$
B) 6306
C) $70 \%$
D) $82 \%$





29. (Test8/(2 21/( Calculator)

Between 1985 and 2003 , data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is $y=3.39 x+46.89$, where $x$ is the number of years since 1985 and $y$ is the amount of plastic produced annually, in billions of pounds.
Which of the following is the best interpretation of the number $3.39$ in the context of the problem?
A) The amount of plastic, in billions of pounds, produced in the United States during the year 1985
B) The number of years it took the United States to produce 1 billion pounds of plastic
C) The average annual plastic production, in billions of pounds, in the United States from 1985 to 2003
D) The average annual increase, in billions of pounds, of plastic produced per year in the United States from 1985 to 2003





30. (Test $8 / Q 22 /$ Calculator)

Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is $y=3.39 x+46.89$, where $x$ is the number of years since 1985 and $y$ is the amount of plastic produced annually, in billions of pounds.
Which of the following is closest to the percent increase in the billions of pounds of plastic produced in the United States from 2000 to 2003?
A) $10 \%$
B) $44 \%$
C) $77 \%$
D) $110 \%$





31. (Test $8 / Q 24 /$ Calculator)

For the finale of a TV show, viewers could use either social media or a text message to vote for their favorite of two contestants. The contestant receiving more than $50 \%$ of the vote won. An estimated $10 \%$ of the viewers voted, and $30 \%$ of the votes were cast on social media. Contestant 2 earned $70 \%$ of the votes cast using social media and $40 \%$ of the votes cast using a text message. Based on this information, which of the following is an accurate conclusion?
A) If all viewers had voted, Contestant 2 would have won.
B) Viewers voting by social media were likely to be younger than viewers voting by text message.
C) If all viewers who voted had voted by social media instead of by text message, Contestant 2 would have won.
D) Viewers voting by social media were more likely to prefer Contestant 2 than were viewers voting by text message.





32. (Test8/Q 26/Calculator)

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?
A) The mean number of children per household in the community is $2.4$.
B) A determination about the mean number of children per household in the community should not be made because the sample size is too small.
C) The sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.
D) The sampling method is not flawed and is likely to produce an unbiased estimate of the mean number of children per household in the community,





33. (Test8/Q 28/Calculator)

The 22 students in a health class conducted an experiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light exercise routine. The dot plots below display the results.
Let $s_{1}$ and $r_{1}$ be the standard deviation and range, respectively, of the data before exercise, and let $s_{2}$ and $r_{2}$ be the standard deviation and range, respectively, of the data after exercise. Which of the following is true?
A) $s_{1}=s_{2}$ and $r_{1}=r_{2}$
B) $s_{1} < s_{2}$ and $r_{1} < r_{2}$
C) $s_{1}>s_{2}$ and $r_{1}>r_{2}$
D) $s_{1} \neq s_{2}$ and $r_{1}=r_{2}$





34. (Test8/Q $37 /$ Calculator)

$$\begin{array}{|c|c|} \hline \text{Minutes after} & \text{Penicillin concentration }\\ \text{injection}&\text{(micrograms per milliliter)} \\ \hline 0 & 200 \\ \hline 5 & 152 \\ \hline 10 & 118 \\ \hline 15 & 93 \\ \hline 20 & 74 \\ \hline \end{array}$$
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient's bloodstream at 5 -minute intervals for the 20 minutes immediately following a one-time penicillin injection. ' According to the table, how many more micrograms of penicillin are present in 10 milliliters of blood drawn from the patient 5 minutes after the injection than are present in 8 milliliters of blood drawn 10 minutes after the injection?


35. (Test8/Q $38 /$ Calculator)

$$\begin{array}{|c|c|} \hline \text{Minutes after} & \text{Penicillin concentration }\\ \text{injection}&\text{(micrograms per milliliter)} \\ \hline 0 & 200 \\ \hline 5 & 152 \\ \hline 10 & 118 \\ \hline 15 & 93 \\ \hline 20 & 74 \\ \hline \end{array}$$
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient's bloodstream at 5 -minute intervals for the 20 minutes immediately following a one-time penicillin injection. The penicillin concentration, in micrograms per milliliter, in the patient's bloodstream $t$ minutes after the penicillin injection is modeled by the function $P$ defined by $P(t)=200 b^{\frac{1}{5}}$. If $P$ approximates the values in the table to within 10 micrograms per milliliter, what is the value of $b$, rounded to the nearest tenth?


36. (Test1/Q 5/Calculator)

Which of the following graphs best shows a strong negative association between $d$ and $t$ ?





37. (Test1/Q 7/Calculator)

Rooftop Solar Panel The number of rooftops with solar panel installations in 5 cities is shown in the graph above. If the total number of installations is 27,500 , what is an appropriate label for the vertical axis of the graph?
A) Number of installations (in tens)
B) Number of installations (in hundreds)
C) Number of installations (in thousands)
D) Number of installations (in tens of thousands)





38. (Test $1 / \mathrm{Q} \quad 12 /$ Calculator) Number of seeds

Based on the histogram above, of the following, which is closest to the average (arithmetic mean) number of seeds per apple?
A) 4
B) 5
C) 6
D) 7





39. (Test $1 / \mathrm{Q} 15 /$ Calculator)

The graph above displays the total cost C, in dollars, of renting a boat for $h$ hours. What does the $C$-intercept represent in the graph?
A) The initial cost of renting the boat
B) The total number of boats rented
C) The total number of hours the boat is rented
D) The increase in cost to rent the boat for each additional hour





40. (Test $1 / \mathrm{Q} 16 /$ Calculator)

Which of the following represents the relationship between $h$ and $C$ ?
A) $C=5 h$
B) $C=\frac{3}{4} h+5$
C) $C=3 h+5$
D) $h=3 C$





Answers

1 A $\qquad \qquad$ $\quad$ Explanation
2 B $\quad$ Explanation
3 C $\quad$ Explanation
4 B $\quad$ Explanation
5 B $\quad$ Explanation
6 D $\quad$ Explanation
7 D $\quad$ Explanation
8 A $\quad$ Explanation
9 D $\quad$ Explanation
10 D $\quad$ Explanation
11 C $\quad$ Explanation
12 C $\quad$ Explanation
13 D $\quad$ Explanation
14 D $\quad$ Explanation
15 A $\quad$ Explanation
16 B $\quad$ Explanation
17 D $\quad$ Explanation
18 D $\quad$ Explanation
19 2.6 $\quad$ Explanation
20 A $\quad$ Explanation
21 C $\quad$ Explanation
22 B $\quad$ Explanation
23 C $\quad$ Explanation
24 B $\quad$ Explanation
25 2.4 $\quad$ Explanation
26 0.714 $\quad$ Explanation
27 C $\quad$ Explanation
28 C $\quad$ Explanation
29 D $\quad$ Explanation
30 A $\quad$ Explanation
31 D $\quad$ Explanation
32 C $\quad$ Explanation
33 D $\quad$ Explanation
34 576 $\quad$ Explanation
35 0.8 $\quad$ Explanation
36 D $\quad$ Explanation
37 C $\quad$ Explanation
38 C $\quad$ Explanation
39 A $\quad$ Explanation
40 C $\quad$ Explanation

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