In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11%.a. write an exponential function to model the deer population in terms of the number of years from now.b. explain what each value in the model represents.c. predict the number of deer that will be in the region after five years. show your work.

If the population is increasing by 11%, the population is being multiplied by 1.11 each year. Raising 1.11 to the number of years would give you how much the population increases. Multiplying this number by the original population will give you the total population. The equation is:

y = 330 * 1.11^n

b.)

y = population after n years

n = number of years

c.)

y = 330 * 1.11^n

y = 330 * 1.11^5

y = 330 * 1.685

y = 556.05

There will be about 556 deer after 5 years

psm22415 psm22415 · Answer 2 · 2021-12-11T03:16:45+01:00

The exponential function [tex]y = 330 \times 1.11^n[/tex] model the deer population in terms of the number of years from now.

The value in the model y represent the population after n years, and n represent the number of years.

The number of deer that will be in the region after five years is y = 556.05.

Given that,

In a particular region of a national park, there are currently 330 deer,

and the population is increasing at an annual rate of 11%.

We have to determine,

Write an exponential function to model the deer population in terms of the number of years from now.

Explain what each value in the model represents.

Predict the number of deer that will be in the region after five years.

According to the question,

In a particular region of a national park, there are currently 330 deer,

and the population is increasing at an annual rate of 11%.

If there is an increase in the population by 11%, it should be multiplied by 1.11 each year.

By raising 1.11 to the number of years will determine the increase in population.

Multiplying the number with the original population will help us,

To determine the total population as an exponential function.

Then, The equation is;

[tex]y = 330 \times 1.11^n[/tex]

Here, y represent the population after n years, and n represent the number of years.

To find the number of deer that will be in the region after five years.

[tex]y = 330 \times 1.11^n[/tex]

Where, n = 5

Substitute the value of n in the equation,

[tex]y = 330 \times 1.11^5\\\\y = 330 \times1.685\\\\y = 556.05[/tex]

Hence, The number of deer that will be in the region after five years is y = 556.05.

To know more about Exponential function click the link given below.

https://brainly.com/question/12344210