High School

Find the average rate of change of the function [tex]f(t) = 23t^2[/tex] from [tex]t = 7[/tex] to [tex]t = 9[/tex].

A. 736
B. 368
C. -46
D. -322
E. 46

Answer :

After calculating the individual function values average rate and applying the formula, the answer is 368.

The average rate of change of a function can be found using the formula: (f(b) - f(a)) / (b - a). Here the function f(t) = 23t^2, and we need to find the average rate of change from t=7 to t=9.

First, calculate f(9) and f(7). f(9) equals 23*(9^2) = 1863 and f(7) equals 23*(7^2) = 1127.

Then, use the formula: (f(9) - f(7)) / (9 - 7) = (1863 - 1127) / 2 = 368.

So, the average rate of change of the function f(t) = 23t^2 from t=7 to t=9 is 368.

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