shiereenmacalalad shiereenmacalalad
  • 10-12-2020
  • Mathematics
contestada

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

Respuesta :

catxnip
catxnip catxnip
  • 10-12-2020

Answer:

y=55 when x is 33

Step-by-step explanation:

Use the direct variation formula:

[tex]\frac{y}{x} =k[/tex]  or [tex]\frac{y}{x} =\frac{y}{x}[/tex]

Insert the given values:

[tex]\frac{15}{9}=\frac{y}{33}[/tex]

To simplify the equation, cross multiply:

[tex]15(33)=9(y)\\\\495=9y[/tex]

Isolate the variable. Divide both sides by 9:

[tex]\frac{495}{9} =\frac{9y}{9} \\\\55=y[/tex]

Therefore, when x is 33, y is 55.

:Done

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