Question

If y varies directly as x and y = 24 when
x= 16, what is y when x = 50?

Answer 1

`y = 75`

Explanation:

Given

`y\ \alpha\ \ x`

`y=24; x =16`

Required

Find y when
`x = 50`

We have:

`y\ \alpha\ \ x`

Express as equation

`y = kx`

Solve for k

`k = (y)/(x)`

When
`y=24; x =16`

`k = (24)/(16)`

`k = (3)/(2)`

When
`x = 50`, we have:

`y = kx`

`y = (3)/(2) * 50`

`y = 75`