## A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the function S(t)

Question

A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the function S(t) = 273(1.073)t , where the t represents the number of years since the study started. Based on the function, what is the growth rate? A) 1 B) 0.073 C) 1.073 D) 273

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2 weeks 2022-01-10T19:32:11+00:00 1 Answer 0 views 0

1. Option B

Growth rate is 0.073

Solution:

Given that,

A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the function:

where the t represents the number of years since the study started

We have to find the growth rate

The growth function is given as:

Where,

a is the initial value

r is the growth rate

t is the number of years

Therefore, on comparing we get,

Thus the growth rate is 0.073