A wooded area in a state park has a mixture of different types of trees. There are 800 pine trees and 50 oak trees. The number of pine trees is decreasing at a rate of 5% per year. The number of oak trees is increasing at a rate of 15% per year. If these trends continue:
Write two functions to model this situation, and graph those two functions on the same coordinate grid.
During what year in the future will the park have approximately the same number of pine and oak trees?

- anonymous

- katieb

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- anonymous

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- anonymous

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## More answers

- welshfella

the formula for number of pines after n years is
N = 800( 1- 0.050)^n

- welshfella

can you work out what it would be for the oaks?

- anonymous

ummm idk, ill tyr

- anonymous

try

- welshfella

14% = 0.14

- anonymous

wats that for?
( the .14)?

- welshfella

look at the function for the pines
the 0.05 come from the 5%
this time its 0.14 but the number of trees are increasing so its + 0.14

- welshfella

* OH sorry its 0.15 ( 15%)

- anonymous

N = 800( 1- 0.15)^n right?

- welshfella

no - the number is INCREASING not decreasing

- anonymous

N = 800( 1+0.15)^n

- welshfella

lol I'll do that again
N = 800(0.95)^n
and
N = 800(1.14)^n

- welshfella

- these are the same as the others but more concise

- anonymous

are those the 2 functions to the first question?

- welshfella

yes

- anonymous

ohh lol ok, thankyou. wb the second question

- welshfella

how do you think you answer the second part - when number of pines = number of oaks?

- welshfella

when that happens the value N will be the same for oaks and pines

- anonymous

is it the 14th year?

- anonymous

o nevermind sorry

- welshfella

how did you get that?

- welshfella

thats 0.15 not 0.14 my last post - i seem to have a fixation with 14!!!

- anonymous

lol ok, thankyou!

- welshfella

i've made another error for the oak trees the number is 50 not 800 so that the second function is
50(1.15)^n
sorry

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