GRADE 8 – BENCHMARK 4

  1. The graph below represents the relationship between the time and distance a train traveled.

According to the graph, what is the average speed of the train in miles per hour?

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6. Clarice was walking home from school when she remembered she left her math book at school. She turned around and walked back to school to pick up her book. Clarice waited for the bus and rode it home. Which graph best models this entire trip?

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8. students of different ages were asked to record an estimate of the average daily time, in minutes, they spend on the internet. The results are shown on the scatter plot below.

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10. The owner of an ice cream store created the scatter plot below to examine the effects of the average outside temperature on daily ice cream sales.

11. The line of best fit was calculated for the following scatter plot.

Which equation best represents the line of best fit?

12. Theo is looking for the line of best fit for the scatter plot below.

Which of the labeled points J, K, M, or L should Theo connect to point M in order to form a line that most closely represents the data in the scatter plot?

Apoint J

Bpoint K

Cpoint M

Dpoint N

13. Hubert has a record of his height from first grade to seventh grade. He constructed a scatter plot and line of best fit to show

His height of each grade level.

Which equation is most likely represents the line of best fit?

14. Tilda kept track of how long it took her to assemble various puzzles based on the total number of puzzle pieces. She determined that the linear model y = 5 + 0.5 x can be used to estimate y, the total time, in minutes, it will take her to assemble a complete puzzle based on x, the total number of puzzle pieces. What does the slope in Tilda’s equation represent?

A. The initial ½ hour needed to sort the puzzle pieces before assembling the puzzle.

B. The rate of ½ minute per puzzle piece while assembling the puzzle.

C. A. The initial 5 minutes to sort the puzzle pieces before assembling the puzzle.

D. The rate of 5 minutes per puzzle piece while assembling the puzzle.

15. A college student is using the following to determine the total number of text message she will have in the box in her cell phone, if she does not delete any of the current messages or future messages she receives in the next x days. In the model, y represents the total number of text messages in her inbox after x days.

Y = 180 + 84x

What does 180 represent in the model?

16. Mandy kept track of the trade-in value of a collector’s coin for several months through February of this year. Shedetermines the line of best fit for the data was y = 4x + 12, where y is the rate of trade-in value, in dollars, x months after February of this year.

According to the equation, when will the trade in value of the coin be $44?

A. October of the same year.

B. December of the same year.

C.April of the following year.

D.June of the following year.

17. A restaurant manager compared the amount of time, y, in minutes, that a group waited to be seated and the number of people in the group, x, during the past several weeks. The line of best fit for the data collected was y = 1.5x + 10. Based on the line of best fit, how much additional wait time, in minutes, is associated with each additional person in the group?

A. 11.5

B. 10

C. 3

D. 1.5

18. A school survey was given to 249 students. The results to the survey questions are shown in the table.

What is the relative frequency of being in favor of changing the school mascot and interested in joining the swim team?

A. 8/11

B. 5/16

C. 5/22

D. 5/83

19. A group of 40 students completed a survey in math class. They were asked about the time they usually go to bed before a school day

and if they have any pets. The table below shows some of the data.

In the survey, a total of 32 students reported they usually go to bed before midnight. Which group has exactly 6 students?

20. A group of students were asked if they play a musical instrument and how many hours they spend on average doing homework per week. The table below shows the results.

Which association is justified by the results in the table?

  1. Students who play an instrument tend to study 5 hours or less.
  2. There are more students who do not play an instrument than students who study more than 5 hours per week.
  3. Students who study more than 5 hours per week tend to play instrument.
  4. There are more students who study 5 hours or less per week than students who play an instrument.