Question

write an equation for the linear function that relates the number of miles to the number of gallons of gas

Answer 1

First, let's calculate the slope using points

`\begin{gathered} (0,0) \\ \text{and} \\ (3,60) \end{gathered}`

This way,

`m=(60-0)/(3-0)\Rightarrow m=20`

Now, using this slope, point (0, 0) and the slope-point form,

`y-0=20(x-0)\Rightarrow y=20x`

We get that the equation is y = 20x