Answer: The area of the forest after 13 years will be approximately 1457 km^2.
Step-by-step explanation: We can use the formula for exponential decay to find the area of the forest after 13 years. The formula is:
A = A0 * (1 - r)^t
where A is the final area, A0 is the initial area, r is the rate of decay as a decimal, and t is the time in years.
For this problem, A0 = 3700 km^2, r = 0.0875 (8.75% as a decimal), and t = 13 years. Plugging in these values, we get:
A = 3700 * (1 - 0.0875)^13
A = 3700 * 0.5323
A = 1968.51 km^2
Rounding to the nearest square kilometer, the area of the forest after 13 years is approximately 1457 km^2.
Hope this helps, and have a great day!