Question

Determine whether why varies directly with X. If so, find the constant of variation K and write the equation.

X 4, 7,10, 13

Y 6.4, 11.2, 16, 20.8

Answer 1

The ratio of the y-value to the x-value is the same in every case (1.6), so the variation is direct and the constant (k) is 1.6.

`(y)/(x)=(6.4)/(4)=(11.2)/(7)=(16)/(10)=(20.8)/(13)=1.6`

Multiplying the above equation by x, you get

... y = 1.6x