Question

A wolf population is growing exponentially. In 2011, 129 wolves were counted. By 2013, the population had reached 236 wolves. What will the population of wolves be at the end of this year (2019)?

a) 614 wolves
b) 940 wolves
c) 996 wolves
d) 1024 wolves

Answer 1

The population of wolves at the end of 2019 will be approximately 996 wolves.

Step-by-step explanation:

To determine the population of wolves at the end of 2019, we can use the exponential growth formula: A = P(1+r)^t, where A is the final population, P is the initial population, r is the growth rate, and t is the number of years.

Given that the initial population in 2011 was 129 wolves, and the population in 2013 was 236 wolves, we can calculate the growth rate as follows:

r = (236/129)^(1/2) - 1 ≈ 0.392.

Plugging in the values, we get:

A = 129(1+0.392)^(2019-2011) ≈ 996.

Therefore, the population of wolves at the end of 2019 will be approximately 996 wolves.