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

9514 1404 393

Answer:

  2205

Step-by-step 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

Answer 2

Answer:

Step-by-step 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