The percentage of a pond that is covered by an invasive water weed after tweeks is modeled by A(t) = 3e^0.15t. To the nearest
whole number, discover what percentage of the pond will be covered after 20 weeks.
-4 percent
-This is impossible to determine with the information provided.
-6,026 percent
-60 percent
To find the percentage of the pond covered after 20 weeks, we can substitute t = 20 into the given equation:
A(t) = 3e^(0.15t)
A(20) = 3e^(0.15*20)
A(20) = 3e^3
Using a calculator, we find that e^3 ≈ 20.0855.
A(20) = 3 * 20.0855
A(20) ≈ 60.2565
To the nearest whole number, approximately 60 percent of the pond will be covered after 20 weeks. Therefore, the answer is 60 percent.