Question

The value of y varies directly as x, and y =9 when x =3/2. Write a direct variation equation that relates the two variables then find the value of x = 12

Answer 1

Answer:
`(y)/(x) = 6`, y = 72

Explanation:

varies directly is:
`(y)/(x) = k`

`\frac{9}{\frac{3}(2)} = k`

`(9(2))/(3) = k`

`6 = k`

`(y)/(x) = 6`

`(y)/(12) = 6`

`(y)/(12)(12) = 6(12)`

y = 72