Activity - Composite Functions

# But now katie is overworked so she comes up with a

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her own. But now Katie is overworked, so she comes up with a shortcut: one function she can do, that covers both Nicolas's job and her own. What does Katie do to each number you give her? (Answer in words.) Exercise 2 Taylor is driving a motorcycle across the country. Each day he covers 500 miles. A policeman started the same place Taylor did, waited a while, and then took off, hoping to catch some illegal activity. The policeman stops each day exactly five miles behind Taylor. Let d equal the number of days they have been driving. (So after the first day, d = 1.) Let T be the number of miles Taylor has driven. Let p equal the number of miles the policeman has driven. a. After three days, how far has Taylor gone? b. How far has the policeman gone? c. Write a function T (d) that gives the number of miles Taylor has traveled, as a function of how many days he has been traveling. d. Write a function p (T) that gives the number of mile the policeman has traveled, as a function of the distance that Taylor has traveled. e. Now write the composite function p (T (d)) that gives the number of miles the police- man has traveled, as a function of the number of days he has been traveling.

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Exercise 3 Ranata is an honor student by day; but by night, she works as a hit man for the mob. Each month she gets paid \$1000 base, plus an extra \$100 for each person she kills. Of course, she gets paid in cash with all \$20 bills.
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