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y varies directly as x. when x =2, y = 14. what Is y when = 10?

solution:. Answer:


Sagot :

Direct Variation

Question

y varies directly as x when x = 2, y = 14. What is y when x = 10?

Answer

In the given variation, y = 70 when x = 10.

Solution

[tex]\begin{array}{l} \rm Solving \ for \ the \ constant \ of \ variation, \\ \\ \rm y = kx \\ \\ \rm 14 = 2k \\ \\ \rm \dfrac{14}{2} = k \\ \\ \rm \bold{k = 7} \\ \\ \\ \rm Solving \ for \ y \ when \ x = 10, \\ \\ \rm y = kx \\ \\ \rm y = (7)(10) \\ \\ \rm \boxed{ \bold{y = 70}} \end{array}[/tex]

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