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The population of a colony of rabbits grows exponentially. The colony begins with 5 rabbits; 5 years later there are 330 rabbits. (a) Express the

The population of a colony of rabbits grows exponentially. The colony begins with 5 rabbits; 5 years later there are 330 rabbits.

(a) Express the population of the colony of rabbits,P, as a function of time,t, in years.

P(t)=

(b) Use the graph to estimate how long it takes for the population of rabbits to reach 1000 rabbits.

It will take [ ]years. (round to nearest 0.01 year)

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