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Distance varies directly as time. If John can travel 400 miles in 8 hours, What would be the direct variation equation to represent this (hint: y = kx)? How far will he travel in 12 hours?

Respuesta :

Answer:

[tex]y = \frac{1}{50} x[/tex]

600 miles

Step-by-step explanation:

[tex]\frac{400}{8} = \frac{x}{12}[/tex]

4800 = 8x

x = 600 miles

equation to represent this:

   miles:  x

   hours:  y

   [tex]\frac{400}{8} = \frac{x}{y}[/tex]

   400y = 8x

   [tex]y = \frac{8x}{400}[/tex]

   [tex]y = \frac{1}{50} x[/tex]

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