The distance traveled by the blue car is represented by

Question

y
=
79
x
y=79x .

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

Number of Hours
Miles Traveled
6
6
444
444
7
7
518
518
8
8
592
592

The speed of the blue car is
miles per hour.

The speed of the red car is
miles per hour.

The
car is faster.

Answer 1

To find the speed of each car, we need to analyze the information given for both the blue and red cars.

1. Speed of the blue car: The equation for the distance traveled by the blue car is given by \( y = 79x \), where \( y \) is the distance in miles and \( x \) is the time in hours. The coefficient 79 represents the speed of the blue car. Thus, the speed of the blue car is: \[ \text{Speed of the blue car} = 79 \text{ miles per hour} \]

2. Speed of the red car: The distances traveled by the red car at different hours are:

   • At 6 hours: 444 miles
   • At 7 hours: 518 miles
   • At 8 hours: 592 miles

   Now, we can calculate the speed of the red car:

   • From 6 to 7 hours: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{518 - 444}{7 - 6} = \frac{74}{1} = 74 \text{ miles per hour} \]

   • From 7 to 8 hours: \[ \text{Speed} = \frac{592 - 518}{8 - 7} = \frac{74}{1} = 74 \text{ miles per hour} \]

   So the speed of the red car is: \[ \text{Speed of the red car} = 74 \text{ miles per hour} \]

3. Comparing speeds:

   • Speed of the blue car = 79 miles per hour
   • Speed of the red car = 74 miles per hour

Since \( 79 > 74 \), we can conclude: \[ \text{The blue car is faster.} \]

Summary:

• The speed of the blue car is 79 miles per hour.
• The speed of the red car is 74 miles per hour.
• The blue car is faster.