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7-81. Aja and Emilie were riding their skateboards. They knew that they could ride 3 miles in 20 minutes.
b. If y represents the distance in miles and x represents the time in minutes, write an equation to
represent the distance traveled for any time.​

Respuesta :

Poltergeist

Answer:

[tex]y=\frac{3}{20}x[/tex]

Step-by-step explanation:

We want to write an equation of the form '

[tex]y=mx+b[/tex]

Now [tex]m[/tex] is the slope of the line or 'rise/run', and it is

[tex]m=\frac{ \Delta y }{ \Delta x } =\frac{3miles}{20minutes} =\frac{3}{20}[/tex]

Now for [tex]b.[/tex]

Since at x=0 y= 0 (Aja and Emile haven't traveled any distance)

[tex]0=0+b\\b=0[/tex]

Thus we have the equation

[tex]y=\frac{3}{20}x[/tex]

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