Question

Y varies inversely with x. If Y=17 and k(The constant of variation) =76, what is x? Round to the nearest tenth if necessary.

Answer 1

x ≈ 4.5

Explanation:

Given y varies inversely with x then the equation relating them is

y =
`(k)/(x)` ← k is the constant of variation

Here k = 76 and y = 17 , thus

17 =
`(76)/(x)` ( multiply both sides by x )

17x = 76 ( divide both sides by 17 )

x ≈ 4.5 ( to the nearest tenth )