Question

Scientists studied a deer population for 10 years. They generated the function f(x) = 248(1.15)x to approximate the number of deer in the population x years after beginning the study. About how many deer are in the population 3 years after beginning the study? 251 377 856 1,003

Answer 1

377

Explanation:

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Answer 2

For this case we have an exponential function of the form:

`f (x) = A (b) ^ x`

Where,

• A: the initial number of deer
• b: rate of change
• x: number of years

We then have the following function:

`f (x) = 248 (1.15) ^ x`

After three years we have:

`f (x) = 248 (1.15) ^ 3\\f (x) = 377`

Answer:

the population 3 years after beginning the study is 377.