Question

Using the given exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent. If there are fractions, you can input your answer as a fraction. i.e. - 4/5, or 1/10)

f(x)=200(4/5)^x

Answer 1

Growth rate is -1/5

Growth factor is 4/5

Explanation:

Here, we want to get the growth rate and the growth factor

Generally for an exponential function given as;

y = a(1 + r)^n

r is the growth rate

1 + r is the growth factor

We can express the given exponential function as follows;

f(x) = 200(1-1/5)^x

So the growth rate is -1/5

The growth factor is 1-1/5 = 4/5