Question

Bill is investigating the declining population of green tree frogs around Crystal Lake. He estimates that 430 of these frogs currently live around the lake. His studies show the frog population is declining by about 3.7% each year due to severe drought. You can use a function to approximate the population of green tree frogs around Crystal Lake x years from now if the drought continues.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.

Answer 1

The population follows exponential decay.
f(x) = 430(1 − 0.037)^x = 430(0.963)^x, where x is years from now.