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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 Eliminate D) 273

Respuesta :

calculista

Answer:

Option B) 0.073

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

[tex]S(t)=a(1+r)^t[/tex]

where

S(t) ----> is the population of gray squirrels in a Texas state park

t ---> represents the number of years since the study started

a ---> is the initial value or y-intercept

r ---> is the growth rate

we have

[tex]S(t)=273(1.073)^t[/tex]

Find the value of r

[tex]1+r=1.073[/tex]

solve for r

[tex]r=1.073-1\\r=0.073[/tex]

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