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Algebra I.5.B.9 - Modeling a Context from a Verbal Description – Exit Ticket

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Last updated about 4 years ago
4 questions
The distance a car travels before coming to a stop once a driver hits the brakes is related to the speed of the car when the brakes were applied. The graph of f (shown below) is a model of the stopping distance (in feet) of a car traveling at diffe
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From EngageNY.org of the New York State Education Department. Grade Algebra i Mathematics Module 5, Topic B, Lesson 9. Internet. Available from https://www.engageny.org/resource/algebra-i-module...; accessed 09/Oct/2015.
Question 1
1.

One data point on the graph of f appears to be (80, 1000). What do you think this point represents in the context of this problem? Explain your reasoning.

Question 2
2.

Estimate the stopping distance of the car if the driver is traveling at 65 mph when she hits the brakes. Explain how you got your answer

Question 3
3.

Estimate the average rate of change of f between x = 50 and x = 60. What is the meaning of the rate of change in the context of this problem?

Question 4
4.

What information would help you make a better prediction about stopping distance and average rate of change for this situation?