Question

This graph shows a proportional relational between the distancetraveled by Tim on a road trip and the number of hours for which hetraveled.

Answer 1

In order to find the slope, we must take 2 point in the graph, the "easy ones".

they could be

`\begin{gathered} (x_1,y_1)=(0,0) \\ \text{and} \\ (x_2,y_2)=(1,50) \\ \end{gathered}`

where x's are hours and y's distances. The slope can be computed as

`m=(y_2-y_1)/(x_2-x_1)`

by substituying the values of the 2 points into m, we have

`\begin{gathered} m=(50-0)/(1-0) \\ m=(50)/(1) \\ \end{gathered}`

this means that, Tim travels 50 miles every hours. Which is answer C.