An initial population of 175 quail increases at an annual rate of 22%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?
(1 point)
Responses
ƒ(x) = 175(0.22)x; 473
ƒ( x ) = 175(0.22) x ; 473
ƒ(x) = (175 • 0.22)x; 84,587,005
ƒ( x ) = (175 • 0.22) x ; 84,587,005
ƒ(x) = 175(22)x; 901,885,600
ƒ( x ) = 175(22) x ; 901,885,600
ƒ(x) = 175(1.22)x; 473
ƒ( x ) = 175(1.22) x ; 473
The correct exponential function to model the quail population is ƒ(x) = 175(1.22)x.
To find the approximate population after 5 years, we can substitute x=5 into the function:
ƒ(5) = 175(1.22)5 = 473.