Find the exponential function that satisfies the given conditions. initial value = 30, increasing at a rate of 13% per year

The exponential function that satisfies the given conditions is .

Step-by-step explanation:

If a population is changing at a constant percentage rate each year, then

where is the initial value, is expressed as a decimal, and is time in years.

This function is known as an exponential growth function.

We know that the initial value is 30 and it is increasing at a rate of 13% per year. Therefore, using the above definition we get that,