Algebra I – Topic 5



Algebra I – Topic 4 Block 5 Name______________________

Guided Assessment Date ____________ Period _____

Use with “What’s My Rate” Slides 1-7

Use the graph to the right to answer questions 1-3.

1. Hosni made several walks in front of a motion detector to explore rate of change.

This is a graph of one of Hosni's walks, where T(S) represents time in seconds and D(M)

represents Hosni's distance from the motion detector in meters. The starting distance for Hosni's walk (to three decimal places) is ____________________. (Remember to include units in your answer and round to the nearest thousandth.)

2. During which segment of Hosni’s walk was he walking the fastest?

A. A B. B C. C D. Not enough information

3. Which of the following statements is true about Hosni’s walk? Select all that apply.

A. He stood still initially, then walked towards the motion detector.

B. He stood still initially, then walked away from the motion detector.

C. He appears to be walking faster when he is moving away from the motion detector than when he is moving toward it.

D. He stood still twice.

4. When Hosni's friends traced the graph, they selected these two points. (Notice from the graphs that time is in seconds and distance is in meters.) During this time period, Hosni was walking at a rate of _________ _______/________.

(After you divide, round your

answer to the nearest thousandth and include units.)

5. Hosni then picked two different points on the graph. During this

time period, he was walking at a rate of _________ _______/_______.

(Round your answer to the nearest thousandth and include units.)

6. Match each line segment with its rate of change and description. Write the answers in the blanks.

Use the graph to the right to answer questions 7-10.

7. Hosni takes another walk and draws his own graph of the results, shown here.

Using this graph, which of the following statements accurately describes this walk?

Select all that apply.

A. He first walked toward the motion detector at a constant rate for 3 seconds.

B. He stood still for 3 seconds.

C. He walked away from the motion detector for 4 seconds.

D. He walked away from the motion detector at a constant rate for exactly 3 seconds.

E. He walked toward the motion detector for 4 seconds.

8. Using Hosni's graph, determine his rate during the first three seconds of the walk.

A. -2.667 feet per second B. 2.667 feet per second

C. -0.375 feet per second D. 0.375 feet per second

9. Hosni's average rate for the last four seconds of the walk is __________ ___________/_________.

(Remember to include units in your answer.)

10. What was Hosni's average rate of change for the entire walk?

A. -0.389 feet per second B. 1 feet per second

C. -0.2 feet per second D. -2 feet per second

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