Question

Please help me !!!!!!!!!!!!!

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

The population of butterflies after 7 years is approximately 2805.1.

Step-by-step explanation:

The function f(x) = 2,000(1.05)^x represents the population of butterflies after x years. To find the population in 7 years, substitute x = 7 into the function:

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

Using a calculator, we can evaluate this to:

f(7) ≈ 2,000(1.402551) ≈ 2805.1

Therefore, the population of butterflies after 7 years is approximately 2805.1.