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Question: precalculus module 2 investigation 5 exploring average speed 1 a...

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Precalculus Module 2: Investigation 5 Exploring Average Speed *1. A car is driving away from a crosswalk. The distance d (in feet) of the car from the crosswalk seconds since the car started moving is given by the formulad+3.5 a. As the number of seconds since the car started moving increases from 1 second to 3 seconds, what is the change in the cars distance from the crosswalk? Graph f, then illustrate how to represent each of the following. i- The increase in 1 from 1 to 3 seconds. ii、 The corresponding change in the cars distance from b. the crosswalk as the value of t increased from I to 3 seconds. c. True or False: The car travels at a constant speed as the value of f increases from 1 to 3 seconds. Discuss and explain. (Hint: It may help to think about how far the car travels in the I second as compared to how far it travels in the 2nd second.). d. Since the car is not traveling at a constant speed it can be challenging to estimate its speed during the interval. It is a common practice to estimate the speed of the car during the interval by pretending its speed was constant and asking. What constant speed would have resulted in the car traveling the same distance (as the distance that the car actually traveled) over this time interval from1 to 3 seconds? i. Plot the points (1, 4.5) and (2, 7.5) on the graph and draw the line passing through them. ii. Determine the constant rate of change of the linear relationship (slope of the line) represented by the linear graph you just drew ii. If a car was traveling at the speed you found in part (i), how far would it travel as t changes from t = 1 to 1-3? e. True or False: The linear graph represents the actual distance (in feet) of the car from the crosswalk as t increases from 1 to 3 seconds. Explain. f. Using the formulaに! 2 + 3.5, determine the value of d when ,-0, 1, 1.25, 2, 26, 3, 4. t01 1.25 2 2.6 3 4
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