A bike tire has a diameter of 14 inches. It runs over a piece of gum that sticks to the tire. Write a cosine function that describes the height of the gum above the ground as a function of angular distance.

a. y = - 7 cos x + 7

b. y = 7 cos x + 14

c. y = - 7 cos x + 14

d. y = 14 cos x + 28

Question

Mathematics

Ruth Berg

1 September, 22:02

A bike tire has a diameter of 14 inches. It runs over a piece of gum that sticks to the tire. Write a cosine function that describes the height of the gum above the ground as a function of angular distance.

a. y = - 7 cos x + 7

b. y = 7 cos x + 14

c. y = - 7 cos x + 14

d. y = 14 cos x + 28

+5

Answers (1)

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Mayo · Answer 1

a. y = - 7cos (x) + 7

Step-by-step explanation:

The middle level of the gum is 7 inches above the ground, and it oscillates 7 inches either side of that. Thus the offset of the cosine function (average height) is 7 and the multiplier (amplitude of oscillation) is also 7. The - 7 on the cosine multiplier means the height of the gum is zero at x=0.

A bike tire has a diameter of 14 inches. It runs over a piece of gum that sticks to the tire. Write a cosine function that describes the height of the gum above the ground as a function of angular distance.a. y = - 7 cos x + 7b. y = 7 cos x + 14c. y = - 7 cos x + 14d. y = 14 cos x + 28

A bike tire has a diameter of 14 inches. It runs over a piece of gum that sticks to the tire. Write a cosine function that describes the height of the gum above the ground as a function of angular distance.

a. y = - 7 cos x + 7

b. y = 7 cos x + 14

c. y = - 7 cos x + 14

d. y = 14 cos x + 28