Question

Y varies directly as x and y =18 when x=1/2 write an equation that relates y and x

Answer 1

y = 36x

Explanation:

Given that y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 18 when x =
`(1)/(2)`, thus

k =
`(y)/(x)` =
`(18)/((1)/(2) )` = 36

y = 36x ← equation of variation