SOLUTION: Please help me solve The model N=10(4+3t)/1.25 describes the number of deer (N) in a park t years after 40 deer are introduced into the region. Approximately how long will it tak

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Question 366027: Please help me solve
The model N=10(4+3t)/1.25 describes the number of deer (N) in a park t years after 40 deer are introduced into the region. Approximately how long will it take the deep population to reach 224?
I thought I would have to foil it first, but then I seconded quessed myself and got confused.
Thank you so very much for your help.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The model N=10(4+3t)/1.25 describes the number of deer (N) in a park t years
after 40 deer are introduced into the region.
Approximately how long will it take the deep population to reach 224?
:
We can do it this way:
10(%28%284%2B3t%29%29%2F1.25) = 224
Divide both sides by 10
%28%284%2B3t%29%29%2F1.25 = 22.4
Multiply both sides by 1.25
4 + 3t = 1.25(22.4)
4 + 3t = 28
3t = 28 - 4
3t = 24
t = 24%2F3
t = 8 yrs
:
:
You can check this in the original equation
10(%28%284%2B3%288%29%29%29%2F1.25) =
10(%28%284%2B24%29%29%2F1.25) =
10(28%2F1.25) = 224
10(22.4) = 224