You can see in the picture that the x-axis represents the time in hours and the y-axis represents the distance in miles.
In this case, the unit rate, in miles per hour, can be found with this formula:
[tex]r=\frac{d}{t}[/tex]
Let be "r" the unit rate, "d" the distance and "t" the time.
According to the information given in the exercise, Jorge travels 5 miles every 8 hours. This information gives you the Unit rate:
[tex]\begin{gathered} r=\frac{5mi}{8h} \\ \\ r=\frac{5}{8}\frac{mi}{hr} \\ \\ r=0.625\text{ }\frac{mi}{hr} \end{gathered}[/tex]
The slope and the Unit rate are the same. Then:
[tex]m=\frac{5}{8}=0.625[/tex]
Where "m" is the slope of the line.
Therefore, the answers are:
1. The slope of the graph is:
[tex]\frac{5}{8}=0.625[/tex]
2. His unit rate is 0.625 miles per hour, or:
[tex]\frac{5}{8}\frac{mi}{h}[/tex]
