Question

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

Answer 1

Answer:

y=55 when x is 33

Step-by-step explanation:

Use the direct variation formula:

$\frac{y}{x} =k$  or $\frac{y}{x} =\frac{y}{x}$

Insert the given values:

$\frac{15}{9}=\frac{y}{33}$

To simplify the equation, cross multiply:

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

Isolate the variable. Divide both sides by 9:

$\frac{495}{9} =\frac{9y}{9} \\\\55=y$

Therefore, when x is 33, y is 55.

:Done