The percentage of a pond that is covered by an invasive water weed after t weeks is modeled by A(t)=3e0.15t . To the nearest whole number, discover what percentage of the pond will be covered after 20 weeks.(1 point)

Question

Responses

6,026 percent
6,026 percent

60 percent
60 percent

4 percent
4 percent

This is impossible to determine with the information provided.

Answer 1

To find the percentage of the pond covered after 20 weeks, we need to evaluate the function A(t) for t=20.

A(20) = 3e^(0.15 * 20) ≈ 3e^3 ≈ 3 * 20.085 ≈ 60.255

So, to the nearest whole number, approximately 60 percent of the pond will be covered after 20 weeks.

Therefore, the correct answer is: 60 percent.