Question

A wolf population is growing exponentially. In 2011, 129 wolves were counted. By 2013, the population had reached 236 wolves. Write the equation representing the population N of wolves over time t.

Answer 1

Given:

Number of wolves in 2011 = 129

Number of wolves in 2013 = 236

To Find:

The multiplier

Solution:

Find the number of years past:

Find the number of years = 2013 - 2011

Find the number of years = 2

Find the multiplier:

Let the multiplier be M

$\text{Number of years at 2013} = \text{Number of years at 2011} ( 1 + \text{Multiplier}) ^2 \\ Number of years at 2013=Number of years at 2011$