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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 3a <strong>–</strong> Introduction to Exponential Functions<br />

Assessment<br />

3. One 12-oz can of Dr. Pepper contains about 39.4 mg of caffeine. The function<br />

A(x) = 39.4(0.8341) x gives amount of caffeine remaining in the body x hours after<br />

drinking a can of Dr. Pepper. Answer in complete sentences.<br />

a) Determine the half-life of caffeine in the body (i.e. How long will it take the body<br />

to metabolize half of the caffeine from one can Dr. Pepper?). Show all of your<br />

work and write your answer in a complete sentence. Round your answer to two<br />

decimal places as needed.<br />

b) How much caffeine is in the body eight hours after drinking the Dr. Pepper?<br />

Show all of your work and write your answer in a complete sentence. Round your<br />

answer to two decimal places as needed.<br />

c) How much caffeine is in the body one day after drinking the Dr. Pepper? Show<br />

all of your work and write your answer in a complete sentence. Round your<br />

answer to two decimal places as needed.<br />

d) According to this model, how long will it take for all of the caffeine to leave the<br />

body?<br />

Scottsdale Community College Page 120 <strong>Intermediate</strong> <strong>Algebra</strong>

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