Question

Find the average rate of change for the function f(x)=3.2 + 25

Answer 1

The average rate of change of the function is: 3.2.

What is the Average Rate of Change for a Function?

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Given the function, $f(x) = 3.2x + 25$, the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:

a = 2

b = 6

f(a) = f(2) = 3.2(2) + 25 = 31.4

f(b) = f(6) = 3.2(6) + 25 = 44.2

Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.

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