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The exponential function to model the quail population.

The exponential function to model the quail population after 3 years.

The exponential function to model the quail population after x years.

Step-by-step explanation:

This can be represented by the function.

Where a is the initial value, r is the rate in the decimal form and t is the time.

As given

An initial population of 298 quail increases at an annual rate of 8%.

a = 298

8% is written in the decimal form.

= 0.08

r = 0.08

x = 3 years

Put in the formula

This represented the exponential function to model the quail population.