Question

16. If y varies directly as x, and x = 9 when y = 15, find y when x = 33?​

Answer 1

y=55 when x is 33

Explanation:

Use the direct variation formula:

`(y)/(x) =k` or
`(y)/(x) =(y)/(x)`

Insert the given values:

`(15)/(9)=(y)/(33)`

To simplify the equation, cross multiply:

`15(33)=9(y)\\\\495=9y`

Isolate the variable. Divide both sides by 9:

`(495)/(9) =(9y)/(9) \\\\55=y`

Therefore, when x is 33, y is 55.

:Done