Question

question 20 (fill-in-the-blank worth 1 points) (09.01) the function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 1.5t 2.5 the average rate of change of f(t) from t = 5 to t = 8 is ______ thousand owners per year. numerical answers expected! answer for blank 1:

Answer 1

1.75 thousand

Explanation:

took the test :)

Answer 2

Average rate of change = (f(8) - f(5))/(8 - 5)
f(8) = 0.25(8)^2 - 1.5(8) + 2.5 = 0.25(64) - 12 + 2.5 = 16 - 9.5 = 6.5
f(5) = 0.25(5)^2 - 1.5(5) + 2.5 = 0.25(25) - 7.5 + 2.5 = 6.25 - 5 = 1.25

Average of change = (6.5 - 1.25)/3 = 5.25/3 = 1.75 thousand owners per year.