Question

Y varies directly as x. If x=6 when y=36 find x when y=72

Answer 1

x= 12

Explanation:

Y
`\alpha` X

Let the constant be k

For the proportionality sign to be gone,a constant has to be introduced.

Since y varies directly,the constant ( k) will multiply x

Y= kx

Substitute for x=6 and y=36 to find k

36=6x

x = 36/6 = 6

To find the value of x,substitute for k = 6 and y = 72

72= 6x

x = 72/6

x=12