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Model 2: Milo's Bicycle Trip Instantaneous velocity readings are shown on the table below and as points on the graph. Time (t) Velocity (v) 0

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Model 2: Milo's Bicycle Trip Instantaneous velocity readings are shown on the table below and as points on the graph. Time (t) Velocity (v) 0 0 (time in 15 hours) 2 24 5 3 27 Construct Your Understanding Questions 4 24 11. What is f(0) = f (1) = What do these values tell you about Milo's trip? 12. What is the area of the shaded rectangle in Model 2? If we take this as an estimate of the distance Milo traveled during the first hour, is this an over- or under-estimate? Explain. 13. The estimate described in the previous question assumes that Milo was traveling at a constant velocity of km/h for the whole first hour of his trip. 14. (Check your work) Making this same type of estimate, we would assume Milo's velocity was 24 km/h for the whole second hour. Is this consistent with your answer to the previous question? a. Add a shaded rectangle to Model 2 representing Milo's change in position if he were going 24 km/h from t = 1 to t = 2. b. What is the area of this rectangle? 15. Making this same type of estimate, we would assume Milo's velocity was km/h for the whole third hour. a. Add a shaded rectangle to Model 2 representing Milo's change in position if he were going this velocity from t = 2 to t = 3. b. Calculate the area of this rectangle. 16. Making this same type of estimate, we would assume Milo's velocity was km/h for the whole fourth hour. a. Add a shaded rectangle to Model 2 representing Milo's change in position if he were going this velocity from t = 3 to t = 4. b. Calculate the area of this rectangle. 17. Calculate the sum of the areas of all four shaded rectangles in Model 2. State what this sum tells you about Milo's trip and include units in your

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