Question

The deer population at the local reserve grows exponentially. The current population is 125 deer and the relative growth rate is 16% per year. Find the number of years required for the deer population to be 400.

Answer 1

About 7.84 years before the deer population is 400

Explanation:

So first we write our equation

125(1.16)^x = 400

Then we divide all sides by 125

1.16^x=3.2

x log 1.16 = log 3.2

06445798922x=0.50514997832

x= 7.83688700862

7.83688700862 years to go!