Question

Given that y varies directly with x, use the specified values to write a direct 1 point

variation equation that relates x and y. x = 24 y=-6*

Answer 1

y = -
`(1)/(4)` x

Explanation:

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

y = kx ← k is the constant of variation

To find k use the condition x = 24, y = - 6

- 6 = 24k ( divide both sides by 24 )

`(-6)/(24)` = k , that is

k = -
`(1)/(4)`

y = -
`(1)/(4)` x ← equation of variation