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

Answer:

B

Step-by-step explanation:

377

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.