Question

a different lake currently has an area of 240 square km but is shrinking each year by 6% from the previous year's area. How much area will the lake have after 13 years?

Answer 1

Hello!

The answer is:

$A(13)=107.37Km^{2}$

Why?

We can calculate the area of the lake after 13 years using the following equation:

$A(t)=A(initial)(1-ShrinkingRate)^{t}$

Where,

A(t), is the area after t time (years)

A(Initial), is the initial area

Shrinking Rate, is the rafe of shrinking and it's 6% or 0.06.

t, is the time

So, substituting we have:

$A(13)=240(1-0.06)^{13}=240*0.447=107.37Km^{2}$

So, the are after 13 years will be:

$A(13)=107.37Km^{2}$

Have a nice day!