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It is given that x varies inversely as y2 – 1. When the value of x is 24, the value of y = 10. What is the value of x when the value of y is 5?

A.	97	B.	99
C.	24	D.	198

Answer and Explanation

Answer:99

Explanation:
x α 1/y2 – 1, and x = K /y2 – 1, where K is the constant of proportionality.
Substituting the values of x and y in the above equation, (x = 24, y = 10), we have 24 = K / 100 – 1
K = 24 × 99 and x = (24 × 99) / y2 – 1 => (1)
To find the value of x, substitute y = 5 in the equation (1)
x = (24 × 99) / (25 – 1) = 99

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