SOLUTION: A population starts with 1, 000 individuals and triples every 80 years. (a) Give an exponential model for the situation.

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Question 1197090: A population starts with 1, 000 individuals and triples every 80 years. (a) Give an exponential model for the situation.
Found 3 solutions by ewatrrr, josgarithmetic, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

A population starts with 1, 000 individuals and triples every 80 years.
 (a) Give an exponential model for the situation.
Q(t) = Q%5B0%5D%2Ae%5Ekt  t being the time in years
3000 = 1000%2Ae%5E%2880k%29
3 = e^80k
ln3/80 = k = ..0137 
Q(t) =1000%2Ae%5E%28.0137t%29+

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Each tripling happens in 80 years. One tripling is 80 years so 1000%2A3%5E%2880%2F80%29 will make the 1000 into 3000. If tbis way of thinking is used, then

y=1000%2A3%5E%28x%2F80%29 .
x, number of years
y, population size

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Population   P = 1000*3^(t/80),  t  is the time in years.         ANSWER

Solved.


        There is no need to convert it to ekt-form.

        Exponential function base 3 is no worse than ekt-form.


        Converting in this case is  UNNECESSARY  job.