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.

Question

Mathematics

Sky

9 February, 04:10

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.

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Answers (1)

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Ezra Khan · Answer 1

Step-by-step explanation:

a.)

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