Question

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.​

Answer 1

`y=(3)/(20)x`

Explanation:

We want to write an equation of the form '

`y=mx+b`

Now
`m` is the slope of the line or 'rise/run', and it is

`m=( \Delta y )/( \Delta x ) =(3miles)/(20minutes) =(3)/(20)`

Now for
`b.`

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

`0=0+b\\b=0`

Thus we have the equation

`y=(3)/(20)x`