Question

The function f(x) = 2,000(1.05)x models a population of butterflies after x years. What will the population be in 7 years?

Answer 1

To find the population of butterflies in 7 years, we need to evaluate f(7) using the given function:

f(x) = 2,000(1.05)^x

f(7) = 2,000(1.05)^7

= 2,000(1.40255)

= 2,805.1

Therefore, the population of butterflies in 7 years will be approximately 2,805 butterflies.