The distance traveled by the blue car is represented by

y
=
37
x
y=37x .

The distance traveled by the red car was monitored by a table. Click Here for Help Video.

Number of Hours
Miles Traveled
3
3
117
117
4
4
156
156
5
5
195
195

The speed of the blue car is
miles per hour.

The speed of the red car is
miles per hour.

The
red
car is faster.

1 answer

To find the speeds of both cars, we can analyze the given information:

  1. Blue Car: The equation y=37x represents the distance traveled by the blue car, where y is the distance in miles and x is the number of hours. The coefficient (37) indicates that the blue car travels 37 miles per hour.

    • Speed of the blue car: 37 miles per hour.
  2. 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 Speed=117 miles3 hours=39 mph

    • For 4 hours: Distance = 156 miles Speed=156 miles4 hours=39 mph

    • For 5 hours: Distance = 195 miles Speed=195 miles5 hours=39 mph

    The speed of the red car is consistent and equal to 39 miles per hour.

Thus, we can conclude:

  • Speed of the blue car: 37 miles per hour.
  • Speed of the red car: 39 miles per hour.

Finally, comparing the speeds:

  • The red car is faster.