Respuesta :
Answer:
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population of the deer after t years.
t represents the number of years.
P represents the initial population of the deer.
r represents rate of growth.
From the information given,
P = 500
r = 8% = 8/100 = 0.08
Therefore, the models that estimates the population of deer in “t” years is
A. P(t)=500(1.08)^t
The model that represents the estimated population of deer in “t” years is Option A. [tex]P(t)=500(1.08)^t[/tex]
Calculation of the models:
Since In 2016 the population of deer in an area was estimated to be 500 with a growth rate of 8% each year.
So, we know that
[tex]A = P(1 + r)^t[/tex]
Here
A Means the population
t means the number of years.
P means the initial population
r means rate of growth.
So, the model is option A.
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A. P(t)=500(1.08)^t