We need to find the unit rate for this situation.
The graph represents a linear equation. Therefore, the unit rate will be found by getting the slope of the line.
The slope is given by the next formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m= slope
P1(x1,y1) and P2(x2,y2) are points for the graph
Let's use the given points P1(1,7) and P=(5,35)
Replacing the values:
[tex]m=\frac{35-7}{5-1}[/tex]
Then
[tex]m=\frac{28}{4}[/tex]
[tex]m=7[/tex]
Hence, we found that the unit rate for the situation is given by 7 miles per gallon.
