Question

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. What is a function that models the expected population

Answer 1

Answer: The function that modeled the expected population is: F(y) = 200 ( 1.07) ^y

Explanation:

It's important to note that according to our problem, y is the input value in years and x is the output value of the deer population.

Let's begin by stating the general form of an exponential equation and explaining the meaning of each variable in the equation:

f(y) = A(B)y

f(y) = output value of x for input value of y

A = initial output value of x

(when input value of y = 0)

B = multiplier (percentage rate)

y = any input value of y

Given : y = 1

A = present population of dear= 200

B= percent increase multiplier = 1 + 7% = 1 + 0.07 = 1.07

F(y) = x = A (B) ^y

F(y) = 200 ( 1.07) ^ 1