Question

Find the rate of change (slope). then predict the next interval.

Answer 1

we can calculate the slope with 2 points one more to the right than the other

i will use this points

$\begin{gathered} (2,70) \\ (4,140) \end{gathered}$

and the equation of the slope

$m=\frac{y2-y1}{x2-x1}$

where the point (x2,y2) is the point to the right on this case (4,140) and (x1,y1)=(2,70)

$\begin{gathered} m=\frac{140-70}{4-2} \\ \\ m=\frac{70}{2} \\ m=35 \end{gathered}$

the slope is 35, so you multiply the hours by 35 to find the Miles

Miles at 10 hours

we just multiply the hours by 35

$\begin{gathered} 10\times35 \\ =350 \end{gathered}$