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suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 28 when y = 2 A. k=56, y 56/2 B. k = 14 y = x/14 C. k = 56, y = 56x D. k = 14. y = 14/x

1 Answer

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Answer: A

Explanation:

Given that y varies inversely with x, that is,

y ∝ 1/x

you will introduce constant k when the proportionality constant sign is changed to equality sign.

y = k(1/x)

when x = 28, y = 2

substitute x and y into the formula to get k

2 = k(1/28)

open the bracket and cross multiply

k = 56

substituting k back into equation gives

y = 56/x

option A should be the answer. but it wasn't written clearly

User Karthik Reddy
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