Question

A certain forest covers an area of 4600km. Suppose that each year this area decreases by 7.75%. What will the area be after 13 years?

Use the calculator provided and round your answer to the nearest square kilometer.

Answer 1

`1679.60\ km^2`

Explanation:

-We can use the exponential decay function to estimate the size after 13 years:

`P_t=P_oe^(-rt)`

Where:

`P_t` is the size after t years, t is the time, r is the rate of decay and
`P_o` the original size.

#We substitute and calculate as:

`P_t=P_oe^(-rt)\\\\=4600e^(-13* 0.0775)\\\\=1679.60`

Hence, the forest covers
`1679.60\ km^2` after 13 years.