Simonne has been following the stock ratings of Carter's Pork Bellies. She has noticed that the pattern can be modeled by a cosine function. During her observations, she has found the stock to have a maximum of x = 6, minimum of x = - 2, and period of π. Which of the following cosine functions could model Simonne's stock rating?

Question

Jaelyn Williams

Mathematics

18 February, 04:31

Simonne has been following the stock ratings of Carter's Pork Bellies. She has noticed that the pattern can be modeled by a cosine function. During her observations, she has found the stock to have a maximum of x = 6, minimum of x = - 2, and period of π. Which of the following cosine functions could model Simonne's stock rating?

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Answers (1)

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Ishaan Barr · Answer 1

The formula is given as y=acos (bx), where a is the amplitude and 2π/b is the period.

Solving for amplitude, we take the distance between the maximum and minimum and divide it by 2.

a = [6 - (-2) ] / 2 = 4

Since we know the period is π, we equate it to 2π/b to solve for b.

π = 2π/b; b=2

The cosine function model is y=4cos (2x)