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If y varies directly as x and y=35 when x=7, find y when x=10.

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ANSWER

[tex] \\ [/tex]

If y varies directly as x and y=35 when x=7, find y when x=10.

[tex] \\ y = kx \\ \\ [/tex]

Evaluate the values

[tex] \\ 35 = k(7) \\ \\ [/tex]

Divide 7 to both sides

[tex] \\ \frac{35}{7} = \frac{k(7)}{7} \\ \\ [/tex]

Cancel both 7 from the right side

[tex] \\ \frac{35}{7} = \frac{k( \cancel7)}{ \cancel7} \\ \\ [/tex]

Divide

[tex] \\ \large\boxed{k = 5} \\ \\ \\ [/tex]

Find the value of y when x=10. Use the constant of variation of the first problem.

[tex] \\ y = kx \\ \\ [/tex]

Evaluate values

[tex] \\ y = (5)(10) \\ \\ [/tex]

Multiply

[tex] \\ \huge \green{ \boxed{ \bold{y = 50}}} \\ \\ \\ [/tex]

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