Finding a final amount in a word problem on expA certain forest covers an area of 2600 km². Suppose thaUse the calculator provided and round your answer to the2.kmХ?

Question

asked Nov 12, 2023 30.4k views

1 Answer

Zoey Mertes · Answer 1 · 2023-11-18T08:16:19+0000

Since the area decreases the same percent each year, we will use the exponential function of decay to solve the question

$f(x)=ab^x^{}$

Where:

a is the initial value

b is the factor of decay

y is the new value

x is the time

$\because a=2600km^2$
$\because b=1-(7)/(100)=0.93$
$\because x=7years$
y=2600(0.93)^7

Let us find the answer using the calculator

Round it to the nearest square km means a nearest whole number

y = 1564 km^2

The final amount is 1564 square kilometers