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
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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
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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
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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 ??
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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
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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
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