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Mathematics 9 Online
OpenStudy (dancergirl45):

A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area decreases by 6%. What is the function that best represents the area of the forest each year and how much area remains after 12 years? Round your answer to the nearest square kilometer. Hint: Use the formula, f(x) = P(1 + r)x

OpenStudy (dancergirl45):

Can someone please explain

OpenStudy (dancergirl45):

@AloneS

OpenStudy (dancergirl45):

@TrojanPoem

alones (alones):

we can use this formula if you're familiar with it?? f(x)

OpenStudy (dancergirl45):

ya the formula it says to use

alones (alones):

so are will stand for 6% and it becomes a negative when we turn it in to decimal so r is -0.06

OpenStudy (dancergirl45):

ok and p is 2000

alones (alones):

yep uou're almost there :) all u have to do is multiply 2000 by 1 - 0.06^x

alones (alones):

oops this is in parantheses (1 - 0.06)^x

OpenStudy (dancergirl45):

wait would x be 12

alones (alones):

and so what did you get ??

alones (alones):

yep that 12yr.s

OpenStudy (dancergirl45):

1800

OpenStudy (dancergirl45):

oh wait

alones (alones):

i'll give you a hint 2000 (0.00)^x :) that what u should get so what decimal you got ??

OpenStudy (dancergirl45):

2000

OpenStudy (dancergirl45):

4.096

OpenStudy (dancergirl45):

hello @AloneS

alones (alones):

no u'll just get 200 (0.94)^x

OpenStudy (dancergirl45):

1880

OpenStudy (dancergirl45):

wouldnt the 200 be 2000

OpenStudy (dancergirl45):

oh ok so the choices are 2000 (0.94), 952 square kil or 2000 (0.94) 1,432 square kil

OpenStudy (dancergirl45):

@AloneS

alones (alones):

okayii let me see :)

alones (alones):

okayii if u exponent ^12 to.94 uo sgould get this 2000 (0.476) is eaqual to 951.8 sq.kilo

OpenStudy (dancergirl45):

So the first one

OpenStudy (dancergirl45):

2000 (0.94), 952 square kil

alones (alones):

i believe it should be that :)

OpenStudy (dancergirl45):

Thank you so much!!

alones (alones):

uyou welcome !! :)

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