The average rate of change of the function is: 3.2.
Average rate of change = [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Given the function, [tex]f(x) = 3.2x + 25[/tex], 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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