Question

A certain forest covers an area of 3100. Suppose that each year this area decreases by 4.75% . What will the area be after 7 years?

Answer 1

Explanation:

This can be represented as exponential decreasing function.

y = a(1 - r)t

a = starting amount

r = rate

t = years

y = 1600(1 - .0725)15

= 1600(.9275)15

= 1600(.32337673)

= 517.40

In 15 years, the forest will shrink in size to 517.40 km2

Answer 2

9514 1404 393

Answer:

2205

Explanation:

The area is multiplied by 1-4.75% = 0.9525 each year. After 7 years, the multiplication factor is 0.9525^7. Then the area is predicted to be ...

3100 × 0.9525^7 ≈ 2205