Answer:
5 mph
Step-by-sep explanation:
To find of out the difference between the speed of the two drivers in miles per hour (not in miles per minute), first, calculate the unit rate or speed of driver 1 using the graph, and driver 2 using the table given.
Unit rate/speed = distance travelled/time = y/x.
Speed of Driver 1/unit rate:
The graph shows 1.5 miles (y) is travelled in 2 minutes (x).
Convert the 2 minutes to hour, you will have:
![\frac{2}{60} = \frac{1}{30} hr](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B60%7D%20%3D%20%5Cfrac%7B1%7D%7B30%7D%20hr%20)
Speed in mph = ![\frac{y}{x} = \frac{1.5}{\frac{1}{30}} = 1.5*\frac{30}{1} = 45](https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B1.5%7D%7B%5Cfrac%7B1%7D%7B30%7D%7D%20%3D%201.5%2A%5Cfrac%7B30%7D%7B1%7D%20%3D%2045%20)
Speed of Driver 1 in mph = 45 mph
Speed of Driver 2/unit rate:
The table shows 2.5 miles (y) is travelled in 3 minutes (x).
Convert the 3 minutes to hour, you will have:
![\frac{3}{60} = \frac{1}{20} hr](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B60%7D%20%3D%20%5Cfrac%7B1%7D%7B20%7D%20hr%20)
Speed in mph = ![\frac{y}{x} = \frac{2.5}{\frac{1}{20}} = 2.5*\frac{20}{1} = 50](https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B2.5%7D%7B%5Cfrac%7B1%7D%7B20%7D%7D%20%3D%202.5%2A%5Cfrac%7B20%7D%7B1%7D%20%3D%2050%20)
Speed of Driver 2 in mph = 50 mph
Difference between the speed of the two drivers = 50 - 45 = 5 mph