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if y varies directly as x, and y=72 when x=8 an equation that relates x and y is? and if y varies directly as x, and y=98 when x=14 an equation that relates x and y is?

Respuesta :

carlosego

Answer:

a) [tex]y=9x[/tex]

b) [tex]y=7x[/tex]


Step-by-step explanation:

In both parts of the problem y varies directly as x. So, they have the following form:

[tex]y=kx[/tex]

Where k is the constant of proportionality.

Therefore, you must find k and then write the equations.

a) Solve for k:

[tex]k=\frac{72}{8}\\k=9[/tex]

Then, the equation is:

[tex]y=9x[/tex]

b)  Solve for k:

[tex]k=\frac{98}{14}\\k=7[/tex]

Then, the equation is:

[tex]y=7x[/tex]

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