MATH 1306 – Homework Handout # 3
Answers To Odd-numbered Problems
1a. Using approximate y-coordinates: at t = 13, y ≈ 8.5 , and at t = 20, y ≈ 5.5
Average rate of change from t = 13 to t =20 is -0.429
1b. On average, from 1 pm to 8 pm, the number of cars on the expressway decreased by 429 per hour.
1c. Using approximate y-coordinates: at t = 6, y ≈ 5 , and at t = 8, y ≈ 10
C[6,8] = 2.5
3a. Using approximate y-coordinates: at m = 0, y ≈ 0 , and at m = 8, y ≈ 150
Average rate of change from m=0 to m=8 is 18.75
3b. On average, during the first eight minutes of Imani's workout, the total calories she burns increases by 18.75 calories per minute.
3c. Using approximate y-coordinates: at m = 8, y ≈ 150 , and at m = 10, y ≈ 166
T[8,10] = 8