There are 225 wolves in a state park. The population is increasing at the rate of 15% per year. When will the population reach 500?

1 Answer
Apr 16, 2016

Between years 5 and 6.

Explanation:

Population after n years is given by the formula
XXXPn=225×(1.15)n

We are asked when
XXXPn=500

XXX225×(1.15)n=500

XXX1.15n=500225=209

XXXlog1.15(209)=n

Using a calculator
XXXlog1.15(209)5.7133