1. Convert the equation f(t)=132(1.06)tf(t)=132(1.06)t to the form f(t)=aektf(t)=aekt. Write your answer using function notation. Round all values to three decimal places

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
Problem 28SE: For the following exercises, consider this scenario: The number of people afflicted with the common...
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1. Convert the equation f(t)=132(1.06)tf(t)=132(1.06)t to the form f(t)=aektf(t)=aekt. Write your answer using function notation. Round all values to three decimal places

2. Convert the formulaf(t)=270e−0.01tf(t)=270e-0.01t to the form f(t)=abtf(t)=abt. Write your answer using function notation. Give answers accurate to three decimal places

3. Convert the equation f(t)=211(0.98)tf(t)=211(0.98)t to the form f(t)=aektf(t)=aekt. Write your answer using function notation. Round all values to three decimal places

4. Convert the formulaf(t)=177e−0.19tf(t)=177e-0.19t to the form f(t)=abtf(t)=abt. Write your answer using function notation. Give answers accurate to three decimal places

5. A population of bacteria is growing according to the equation P(t)=800e0.14tP(t)=800e0.14t.

Use a graphing utility (GeoGebra, Desmos, or calculator, for example) to estimate when the population will exceed 1987.

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