## 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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2022-01-10T19:32:11+00:00
2022-01-10T19:32:11+00:00 1 Answer
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## Answers ( )

Option BGrowth rate is 0.073Solution: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