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:
[tex]S(t) = 273(1.073)^t[/tex]
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:
[tex]y = a(1+r)^t[/tex]
Where,
a is the initial value
r is the growth rate
t is the number of years
Therefore, on comparing we get,
[tex]1 + r = 1.073\\\\r = 1.073 - 1\\\\r = 0.073[/tex]
Thus the growth rate is 0.073
