The area of forest after 5 years is 2846.93 square kilometer
Solution:
Given that, A certain forest covers an area of 4500 square kilometer
Suppose that each year this area decreases by 8.75%
To find: Area after 5 years
The decrease function is given as:
[tex]y = A(1-r)^t[/tex]
Where,
y is the value after t years
A = initial amount
r = decreasing rate in decimal
t is the number of years
Here in this sum,
A = 4500
t = 5 years
[tex]r = 8.75 \% = \frac{8.75}{100} = 0.0875[/tex]
Substituting the values in formula,
[tex]\begin{aligned}&y=4500(1-0.0875)^{5}\\\\&y=4500(0.9125)^{5}\\\\&y=4500 \times 0.632651\\\\&y=2846.93\end{aligned}[/tex]
Thus the area of forest after 5 years is 2846.93 square kilometer
