Question

Using the given table of an 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.)

f(x)=75(1-.3)^x

Answer 1

0.7 is the growth factor

0.3 is the growth rate

Explanation:

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

Let us consider the general form of an exponential equation

That will be;

y = a(1 + r)^n

The growth rate is r

while the growth factor is the term (1 + r)

From the given exponential function;

-0.3 is the rate of increase

Growth rate is 1-0.3 = 0.7