To find the speeds of both cars, we can analyze the given information:
-
Blue Car: The equation
represents the distance traveled by the blue car, where is the distance in miles and is the number of hours. The coefficient (37) indicates that the blue car travels 37 miles per hour.- Speed of the blue car:
miles per hour.
- Speed of the blue car:
-
Red Car: From the provided distance table for the red car, we can calculate the speed by taking the distance traveled and dividing it by the number of hours it took.
-
For 3 hours: Distance = 117 miles
-
For 4 hours: Distance = 156 miles
-
For 5 hours: Distance = 195 miles
The speed of the red car is consistent and equal to
miles per hour. -
Thus, we can conclude:
- Speed of the blue car:
miles per hour. - Speed of the red car:
miles per hour.
Finally, comparing the speeds:
- The red car is faster.