Question

Given y varies directly as x, use the given x-value and y-value to find an equation that relates x and y. x = 24 and y = 360

Answer 1

y = kx
360 = 24k
k = 15
y = 15x

Answer 2

`y=15x`

Explanation:

We are asked to find the equation for given quantities, when y varies directly as x.

We know that the equation of two proportional quantities are in form
`y=kx`, where k represents constant of proportionality.

Let us find constant of proportionality by substituting
`x=24` and
`y=360` in above equation.

`360=24k`

`(360)/(24)=(24k)/(24)`

`15=k`

Therefore, our required equation would be
`y=15x`.