Question

The frog population in a small pond grows exponentially. The current population is 85 frogs and the population grows by 18% each year.

A: Find a function that models the number of frogs after t years.
B: Find the number of years for the frog population to reach 600.

Answer 1

Answer: Your equation is y=85(1.18)^x and it will take a little under 12 years for the population to reach 600.

Explanation:

The equation for an exponential equation is y=ab^x

Change 18% to a decimal and than add 1 to it because it has to be above 1 to increase.

This is your equation ---> y=85(1.18)^x

After 11 years, the population of the frogs would be 525 and for 12 years, the population will be 619. So for the population to reach 600, it will take a little under 12 years.