A certain forest covers an area of
1800
km2
. Suppose that each year this area decreases by
5.25%
. What will the area be after
11
years?
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OpenStudy (anonymous):
How would you do this ? @FaiqRaees
OpenStudy (anonymous):
@Mehek14 @mayankdevnani @ganeshie8
OpenStudy (mayankdevnani):
do you know how to write a general equation ?
OpenStudy (anonymous):
Would it sound stupid if i said no .. ?
OpenStudy (mayankdevnani):
nope !
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OpenStudy (mayankdevnani):
don't worry, i'm here
OpenStudy (anonymous):
Lol okay thank you !
OpenStudy (mayankdevnani):
so the equation is :-
Area=A
decreases by x%
time =t years
It is an exponential equation
\[\large \bf f(x)=A(1-x)^t\]
OpenStudy (mayankdevnani):
where f(x) is the area after `t` years
OpenStudy (mayankdevnani):
just plug the values and solve it.
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OpenStudy (anonymous):
Okay but what is A and x ?
OpenStudy (mayankdevnani):
A is area
x=decreases in area(in %)
OpenStudy (anonymous):
So would it look like f(x) = 1800 (1 - 5.25%) ^ 11
OpenStudy (mayankdevnani):
correct !
OpenStudy (anonymous):
Yay okay thank you :) I will let you know how it goes. I may have more questions later, is that okay ?
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OpenStudy (mayankdevnani):
okay :D
OpenStudy (anonymous):
I got it right :) They wanted me to round and so the answer was 995 km2
I have another question but i will post it separate @mayankdevnani Is that okay ?