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doritasanchez
doritasanchez
18.08.2020 • 
Mathematics

An inchworm (exactly one inch long, of course) is crawling up a yardstick (guess how long that is?). After the rst day, the inchworm's head (let's just assume that's at the front) is at the 3" mark. After the second day, the inchworm's head is at the 6" mark. After the third day, the inchworm's head is at the 9" mark. Let d equal the number of days the worm has been crawling. (So after the rst day, d = 1.) Let h be the number of inches the head has gone. Let t be the position of the worm's tail. a. After 10 days, where is the inchworm's head? b. Its tail? c. Write a function h (d) that gives the number of inches the head has traveled, as a function of how many days the worm has been traveling. d. Write a function t(h) that gives the position of the tail, as a function of the position of the head. e. Now write the composite function t(h (d)) that gives the position of the tail, as a function of the number of days the worm has been traveling.

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