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,

$m=\frac{60-0}{3-0}\Rightarrow m=20$

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