Mathematics Worksheet With Answer Key - Grade 8, Mcas, 2015 Page 9
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20Mathematics
Session 1
Question 10 is an open-response question.
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BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.
•
Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.
•
If you do the work in your head, explain in writing how you did the work.
Write your answer to question 10 in the space provided in your Student Answer Booklet.
ID:307588 SL016_reading_graph.eps [ Common
●
10
Kate is reading a 500-page book. The graph below represents the relationship between the
number of hours Kate has spent reading and the number of pages she has read.
Reading Rate
y
450
400
350
300
Kate’s
rate
250
(5, 200)
150
100
50
x
0
1
2
3
4
5
6
Time (in hours)
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and the line
representing Kate’s reading rate exactly as shown. Be sure to label the line “Kate’s rate.”
a. At what rate, in pages per hour, is Kate reading? Show or explain how you got your answer.
b. What is the total amount of time, in hours, it will take Kate to read the entire 500-page book?
Show or explain how you got your answer.
Edward is reading the same 500-page book. The equation below represents the relationship
between y, the number of pages he has read, and x, the number of hours he has spent reading.
y
50x
c. On your grid, graph the equation that represents the number of hours that Edward has spent
reading and the number of pages he has read. Label the line “Edward’s rate.”
d. Edward thinks he will finish reading the book in less time than Kate. Is he correct? Show or
explain how you got your answer.
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