Question

The value of the computer decreased exponentially throughout the five-year

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Incomplete question as the function is not given. So, I will give a general solution

Required

Determine the average rate of change from t = 2 to 4

Average rate of change is :

$Rate = \frac{f(b) - f(a)}{b - a}$

In this case: a = 2 and b = 4

So, we have:

$Rate = \frac{f(4) - f(2)}{4 - 2}$

$Rate = \frac{f(4) - f(2)}{2}$

Assume that the exponential function is:

$f(t) = 3^{-t$

f(4) and f(2) will be:

$\\ f(4) = 3^{-4} = \frac{1}{81}$

$f(2) = 3^{-2} = \frac{1}{9}$

So:

$Rate = \frac{f(4) - f(2)}{2}$

$Rate = \frac{\frac{1}{81} - \frac{1}{9}}{2}$

Take LCM

$Rate = \frac{\frac{1 - 9}{81}}{2}$

$Rate = \frac{-\frac{8}{81}}{2}$

$Rate = -\frac{8}{81}*\frac{1}{2}$

$Rate = -\frac{4}{81}$

So, the average rate of change is a decrease of 4/81