Question

Y varies inversely with x, when y is 48 when x is 1/3 .which equation represents this situation?

a) Y=16/x
b) Y=16x
c) Y=144x
d) Y= 144/x

Answer 1

A

Explanation:

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

y =
`(k)/(x)`

To find k use the condition y = 48 when x =
`(1)/(3)`, thus

k = yx = 48 ×
`(1)/(3)` = 16

y =
`(16)/(x)` ← equation of variation