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

Answer:

$1679.60\ km^2$

Step-by-step 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:

$P_t=P_oe^{-rt}\\\\=4600e^{-13\times 0.0775}\\\\=1679.60$

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