SOLUTION: Please help! :( How would I solve the below problem? And what is the final answer? A scientist determined that the fruit fly population for his experiment is given by the equat

Question 143982: Please help! :( How would I solve the below problem? And what is the final answer?
A scientist determined that the fruit fly population for his experiment is given by the equation: P(t)= 230 / 1+56.5e(exponent)-.37t where P(t) is the population of the fruit flies after t days.
(a) Find the number of fruit flies after 4 days
(b) What was the number of fruit flies at the beginning of the experiment.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)

Start with the given function

Plug in

Multiply -.37 and 4 to get -1.48

Raise e to the -1.48 to get 0.22764

Multiply 56.5 and 0.22764 to get 12.86166

Add 1 and 12.86166 to get 13.86166

Divide 13.86166 into 230 to get 16.59253

So after 4 days, there are about 17 flies (I rounded to the nearest whole number)

b)

Start with the given function

Plug in

Multiply -.37 and 0 to get 0

Raise e to the zeroth power to get 1

Multiply 56.5 and 1 to get 56.5

Add 1 and 56.5 to get 57.5

Divide 57.5 into 230 to get 4

So at the beginning of the experiment, there are 4 flies.

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