Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.
<h3>What is an exponential function?</h3>
An exponential function is modeled by:

In which:
- b is the rate of change, as a decimal.
In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

The population will be of 600 when A(t) = 600, hence:





Hence:
t/8 = 3.
t = 24.
It will take 24 years for the current population of 4800 deer to reduce to 600.
More can be learned about exponential functions at brainly.com/question/25537936
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