WILL GIVE BRAINLYEST
An initial population of 293 quail increases at an annual rate of 6%. Write an exponential
function to model the quail population. What will the approximate population be after 4 years?

WILL GIVE BRAINLYEST An initial population of 293 quail increases at an annual rate of 6 Write an exponential function to model the quail population What will t class=

Respuesta :

Answer:

f(x)=293(1.06)^x;370

The quail population after 4 years is 370

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let y represent the population of the quail after x years.

There is an initial population of 293 quail, hence a = 293. the population increases at an annual rate of 6%. hence b = 100% + 6% = 1.06

The exponential function is given by:

y = 293(1.06)ˣ

The population after 4 years:

y = 293(1.06)⁴ = 370

The quail population after 4 years is 370

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