A certain forest covers an area of 2300 km2. Suppose that each year this area decreases by 5.25%. What will the area be after 13 years? Use the calculator provided and round your answer to the nearest square kilometer.

The area after 13 years will be 1141 km2

Step-by-step explanation:

This problem can be modeled with an exponencial equation:

A = Ao * (1+r) ^t

Where A is the Area after t years, Ao is the inicial area and r is the rate that the area changes.

For our problem, we have that Ao = 2300, r = - 5,25% = - 0.0525 and t = 13.

Then, we can find the area after 13 years:

A = 2300 * (1 - 0.0525) ^13

A = 2300 * (0.9475) ^13 = 1140.93 km2

Rounding to the nearest square kilometer, we have A = 1141 km2