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

Question

asked Apr 13, 2021 58.6k views

1 Answer

Adam Luchjenbroers · Answer 1 · 2021-04-19T04:29:48+0000

Answer:

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