To determine the percentage of the pond covered by the invasive water weed after 20 weeks, we can plug \( t = 20 \) into the function \( A(t) = 3e^{0.15t} \).
Calculating \( A(20) \):
\[ A(20) = 3e^{0.15 \times 20} \]
Calculating the exponent:
\[ 0.15 \times 20 = 3 \]
Thus, we have:
\[ A(20) = 3e^{3} \]
Now, we calculate \( e^3 \) (approximately 20.0855):
\[ A(20) = 3 \times 20.0855 \approx 60.2565 \]
Rounding to the nearest whole number, the percentage of the pond that will be covered after 20 weeks is approximately 60 percent.
The correct answer is: 60 percent.
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