Answered

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The variable y varies directly as x When x= 20. y= 12. What is the value of y when x= 15?OA 7OB. 9Ос. 18OD. 25

Sagot :

"The variable y varies directly as x."

For this type of condition, we can just interpret this as getting the missing value through ratios and proportions.

We get,

[tex]\text{ 20 : 12 = 15 : y}[/tex][tex]\text{ 20 : 12 = 15 : y }\rightarrow\text{ }\frac{\text{ 20}}{\text{ 12}}\text{ = }\frac{\text{ 15}}{\text{ y}}[/tex][tex]\text{ (20)(y) = (15)(12)}[/tex][tex]\text{ 20y = 180}[/tex][tex]\text{ }\frac{\text{20y}}{20}\text{ = }\frac{\text{180}}{20}[/tex][tex]\text{ y = 9}[/tex]

Therefore, at x = 15, y = 9.

The answer is letter B.

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