Question

A population of squirrels doubles every year. Initially, there were 5 squirrels. A biologist studying the squirrels created a function to model their population growth: P(t) = 5(2)^t, where t is the time in years.

Find the population of squirrels in 6 years.
A. 320
B. 60
C. 1,000,000
D. 50"

Answer 1

The population of squirrels is calculated by the function P(6) = 5(2)^6, which results in a population of 320 after 6 years.

Step-by-step explanation:

To find the population of squirrels in 6 years, given the initial population and the rate of growth, we use the function P(t) = 5(2)^t. Here, t is the time in years. Substituting t with 6, the equation becomes P(6) = 5(2)^6. Calculating this gives us P(6) = 5 × 64, which equals 320. Therefore, the population of squirrels in 6 years is 320.