Question

suppose that y varies directly. with x, and y=20 when x=16. write a direct variation equation that relates x and y

Answer 1

y = 1.25x

Explanation:

given y varies directly with x , then the equation relating them is

y = kx ← k is the constant of variation

to find k , substitute y = 20 when x = 16 into the equation

20 = 16k ( divide both sides by 16 )

`(20)/(16)` = k , that is

k =
`(5)/(4)` = 1.25

y = 1.25x ← equation of variation