SOLUTION: A population of animals is growing at a rate of 5% per year and the growth can be modelled by the function p(t)= pₒ(c)^t . If t represents time in years, the value of c is?

Algebra ->  Trigonometry-basics -> SOLUTION: A population of animals is growing at a rate of 5% per year and the growth can be modelled by the function p(t)= pₒ(c)^t . If t represents time in years, the value of c is?      Log On


   

Question 1181880: A population of animals is growing at a rate of 5% per year and the growth can be modelled by the function p(t)= pₒ(c)^t . If t represents time in years, the value of c is?
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answer: c = 1.05

Explanation:
5% converts to 0.05
r = 0.05 is plugged into 1+r to get 1.05
So 1.05 is the base of the exponential.

Side note: if we have exponential decay, then r is negative
eg: decay of 20% means r = -0.20 which leads to 1+r = 1+(-0.20) = 0.80