What is the average rate of change of the function f (x) = 5 (2) ^x from x = 1 to x = 5?

Question

Mathematics

Uriah Woodard

26 August, 08:10

What is the average rate of change of the function f (x) = 5 (2) ^x from x = 1 to x = 5?

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Answers (1)

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Blevins · Answer 1

Average rate of change refers to the slope of a function/equation.

To solve this, plug in for both x values and calculate the average, or mean.

x = 1

f (1) = 5 (2) ^1

= 5 (2)

= 10

x = 5

f (5) = 5 (2) ^5

= 5 (32)

= 160

Now, you calculate the average:

10 + 160 = 170

Divide by 2 and you get 85.