Question

, if "y varies directly as x", find the constant of variation and write an equation of direct variation that

relates the two variables.
y = 12 when x = 1/4

Answer 1

k = 48 , y = 48x

Explanation:

given 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 = 12 when x =
`(1)/(4)` , then

12 =
`(1)/(4)` k ( multiply both sides by 4 to clear the fraction )

48 = k

constant of variation is then k = 48 , so

y = 48x ← equation of variation