The graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.
How to Find the Slope of a Proportional Relationship Graph?
For any proportional relationship, we can find the slope of the graph by using any point on the line of the graph. The slope of the graph is also the unit rate, Therefore, picking a point on the line, (x, y), we have:
Slope (m) = y/x.
Number of miles Tyrell walks (y) = 12 miles
Time spent working (x) = 3 hours
The unit rate or slope = y/x = 12/3
Slope/unit rate (m) = 4 miles per hour.
From the graphs given, only graph B has the same unit rate/slope as 4, when we use the point, (5, 20).
Slope of graph B = 20/5 = 4.
Therefore, the graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.
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