The distance traveled by the blue car is represented by

Question

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.

Answer 1

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 \[ \text{Speed} = \frac{117 \text{ miles}}{3 \text{ hours}} = 39 \text{ mph} \]

   • For 4 hours: Distance = 156 miles \[ \text{Speed} = \frac{156 \text{ miles}}{4 \text{ hours}} = 39 \text{ mph} \]

   • For 5 hours: Distance = 195 miles \[ \text{Speed} = \frac{195 \text{ miles}}{5 \text{ hours}} = 39 \text{ mph} \]

   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.