SOLUTION: The population of a colony of rabbits grows exponentially. The colony begins with 5 rabbits; 5 years later there are 320 rabbits. (a) estimate how long it takes for the population

Question 1206832: The population of a colony of rabbits grows exponentially. The colony begins with 5 rabbits; 5 years later there are 320 rabbits.
(a) estimate how long it takes for the population of rabbits to reach 1000 rabbits.
Found 3 solutions by josgarithmetic, MathLover1, Edwin McCravy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Model as

Model in this form is .
.
.

or x, about 6 years 4 months
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let population og rabbits be , time (in years)

if the colony begins with rabbits,

so far equation is

if years later there are rabbits

...take natural log of both sides

equation is:

(a) estimate how long it takes for the population of rabbits to reach rabbits.

years

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

About 6.4 years or 6 years, 5 months. Edwin

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