Awildlife biologist determines that there are approximately 200 deer in a region of a national park. the population grows at a rate of 7% per year. what is an exponential function that models the expected population?

a. f(x) = 200(0.07)x
b. f(x) = 200(1.07)x
c. f(x) = 1.07(200)x
d. f(x) = 7(200)x

The exponential function that models the expected population of deer in the region of national park is  

hence option (B) is correct

Given

A wildlife biologist determines that there are approximately 200 deer in a region of a national park.

The population grows at a rate of 7% per year.

We have to determine is an exponential function that models the expected population.

The general exponential function is given by the  equation (1)

Initial number of deer = a = 200

r = Yearly growth rate = 7%

On putting  the values in equation (1) we get

So the exponential function that models the expected population of deer in the region of national park is  

hence option (B) is correct.

For more information please refer to the link below

link

Option B.

Step-by-step explanation:

A wildlife biologist determines that

Initial population of deer = 200

Growth Rate = 7% = 0.07

The general exponential growth function is

where, a is initial value, r is growth rate and x is number of years.

Substitute a=200 and r=0.07 in the above function.

The exponential function that models the expected population is .

Therefore, the correct option is B.