A population of local frogs increases at a rate of 12% per year. In 2013, there were 332 frogs.Lety=F(t) be the function representing the size of the frog population, wheretis the number of yearssince 2010. A) RepresentF(t) as a formula? B) What is the domain and range ofF? Clearly label each. C) Ast→+∞, what value doesF(t) approach? D) What is the doubling time ofF(t) (how long does it take for the population to double)?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A population of local frogs increases at a rate of 12% per year. In 2013, there were 332 frogs.Lety=F(t) be the function representing the size of the frog population, wheretis the number of yearssince 2010.

A) RepresentF(t) as a formula?

B) What is the domain and range ofF? Clearly label each.

C) Ast→+∞, what value doesF(t) approach?

D) What is the doubling time ofF(t) (how long does it take for the population to double)?

Expert Solution
Step 1

Given.

The population of increasing at the rate of 12% per year.

In 2013 the population of frog of 332.

The starting year lyf 2010

 

.

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