Question

A local snail population grows according to the function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent. Then explain to Iris how the key features of this local snail population compares to the key features of the invasive population.

Answer 1

The answer is g(x) = 200 times 1.0609^x
Solution:
=200 •1.03•2x.
=200•1.03^(2x).

1.03^2x = (1.03²)^x
= 1.0609^x

g(x) = 200·1.0609^x