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)   (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) =   t being the time in years
3000 = 
3 = e^80k
ln3/80 = k = ..0137 
Q(t) =

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

.
x, number of years
y, population size

Answer by ikleyn(52803)   (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.



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