A certain forest covers an area of 4200km^2 suppose that each year this decreases 8.5% what will the area Be after 5 years

The correct answer, rounded to the nearest km², is 2694.

Explanation:

This can be represented using an exponential equation of the form

y = a (1+r) ˣ, where y is the total amount, a is the initial population, r is the rate of increase or decrease written as a decimal number, and x is the amount of time.

In our problem, a = 4200, r = - 8.5% = - 8.5/100 = - 0.085, and x is 5:

y = 4200 (1+-0.085) ⁵ = 4200 (0.915) ⁵ = 2693.73 ≈ 2694.