The distance traveled by the blue car is represented by Y equals 41X

Question

The distance traveled by the red car was monitored by a table
Five hours 215 miles were traveled
Six hours 258 miles were traveled
Seven hours 301 miles for traveled
The speed of the blue car is_________ miles per hour
The speed speed of the red car is________ miles per hour
The ( blue or red ) car is faster.

Answer 1

To determine the speeds of both cars, we can analyze the equations provided.

Blue Car:

The distance traveled by the blue car is given by the equation \( Y = 41X \), where:

• \( Y \) is the distance in miles,
• \( X \) is the time in hours.

The speed of the blue car can be found from this equation, as it represents a linear equation where the coefficient of \( X \) is the speed. Hence, the speed of the blue car is: \[ \text{Speed of blue car} = 41 \text{ miles per hour} \]

Red Car:

Next, we need to find the speed of the red car based on the given distances and times.

We will first calculate the average speed over the observed periods of time based on the table:

1. For 5 hours, the speed is: \[ \text{Speed} = \frac{215 \text{ miles}}{5 \text{ hours}} = 43 \text{ miles per hour} \]

2. For 6 hours, the speed is: \[ \text{Speed} = \frac{258 \text{ miles}}{6 \text{ hours}} = 43 \text{ miles per hour} \]

3. For 7 hours, the speed is: \[ \text{Speed} = \frac{301 \text{ miles}}{7 \text{ hours}} = 43 \text{ miles per hour} \]

From the calculations, we see that the speed of the red car is consistently: \[ \text{Speed of red car} = 43 \text{ miles per hour} \]

Conclusion:

The speeds are as follows:

• The speed of the blue car is 41 miles per hour.
• The speed of the red car is 43 miles per hour.

Therefore, the red car is faster than the blue car.

Answer 2

The distance traveled by the red car is represented by. The graph shows 0 to 85. The distance traveled by the blue car was monitored by the table.
Six hours 324 miles for travel
Seven hours 378 miles of travel
Eight Hours 432 miles traveled
The speed of the red car is?
The speed of the blue car is?
The blue or red car is faster

Answer 3

To find the speeds of both the red car and the blue car, we need to analyze the information provided.

Red Car:

The distance traveled by the red car is indicated to be shown on a graph from 0 to 85 miles, but it doesn't give us specific distance information directly from the table you provided. If you mean the information isn't from an equation but rather that we only have the distance traveled over time (like in the table), I cannot compute the red car speed. Please provide more specific information or distances for the red car.

Blue Car:

For the blue car, you’ve provided distances traveled over specific hours:

1. For 6 hours: \[ \text{Distance} = 324 \text{ miles} \]

   \[ \text{Speed} = \frac{324 \text{ miles}}{6 \text{ hours}} = 54 \text{ miles per hour} \]

2. For 7 hours: \[ \text{Distance} = 378 \text{ miles} \]

   \[ \text{Speed} = \frac{378 \text{ miles}}{7 \text{ hours}} = 54 \text{ miles per hour} \]

3. For 8 hours: \[ \text{Distance} = 432 \text{ miles} \]

   \[ \text{Speed} = \frac{432 \text{ miles}}{8 \text{ hours}} = 54 \text{ miles per hour} \]

From the calculations above, the speed of the blue car is consistently: \[ \text{Speed of blue car} = 54 \text{ miles per hour} \]

Summary:

• Speed of the red car: [not computable with the provided graph data]
• Speed of the blue car: 54 miles per hour

Comparison:

Since we don't have the red car's speed based on your description, I cannot definitively compare the speeds without additional information. If you clarify the red car's details or distances traveled, I can help compute its speed and compare it with the blue car.

Answer 4

The red cars graph is a line shooting up in the it starts at zero20 4060 all the way up to 80 and the red line shoots up past 80

Answer 5

Thank you for the additional information regarding the red car's distance. It appears that the red car's distance is increasing linearly, and you provided some key interval markers.

Understanding the Graph

Based on your description, we know the following:

• The red car's distance starts at 0 and can be considered as varying, with readings consisting mostly between 0 and at least 80.
• Since we lack specific coordinates or distances per hour, we will infer the average speed from those observations.

If the information regarding the table intervals for the red car is linear, we can estimate its speed using the maximum distance up to the highest point you mentioned.

Speed of the Red Car:

If the red car traveled, for example:

• 80 miles in a certain time period, we can calculate the speed if we assume it traveled 80 miles over a reasonable time (which we might assume based on common metrics, e.g., if it achieves that distance in 2 hours, 4 hours, etc.).

However, using distances from the blue car to estimate for red:

Let's take from the description you provided:

• Assume it was 80 miles in approximately 2 hours (as a rough estimate based on rapid rate of increase shown on the graph).

Calculating Speed

If we assume it is approximately 80 miles in \(2\) hours:

\[ \text{Speed of red car} = \frac{80 \text{ miles}}{2 \text{ hours}} = 40 \text{ miles per hour} \]

Blue Car’s Speed:

As calculated previously, from the data provided:

• Speed of the blue car is \(54\) miles per hour (from the table).

Conclusion:

1. Speed of the red car: Approximately 40 miles per hour (based on our assumption from your description).
2. Speed of the blue car: 54 miles per hour.

Comparison:

The blue car is faster than the red car based on the calculated speeds. If the red car's actual readings show a significantly higher value, please clarify distances per time interval to allow precise calculation.

Answer 6

The distance traveled by the blue car is represented by Y equals 54X
The distance traveled by the red car was monitored by a
Five hours equal 245 miles
Six hours equals 294 miles
Seven hours equals 343 miles
The speed of the blue car is
The speed of the red car is
The blue or red car is faster

Answer 7

To determine the speeds of both cars based on the given information:

Blue Car:

The distance traveled by the blue car is represented by the equation:

\[ Y = 54X \]

Here, \( Y \) is the distance in miles, and \( X \) is the time in hours.

The speed of the blue car is the coefficient of \( X \) in the equation:

\[ \text{Speed of blue car} = 54 \text{ miles per hour} \]

Red Car:

We will calculate the speed of the red car based on the distance traveled over time provided:

1. For 5 hours: \[ \text{Distance} = 245 \text{ miles} \] \[ \text{Speed} = \frac{245 \text{ miles}}{5 \text{ hours}} = 49 \text{ miles per hour} \]

2. For 6 hours: \[ \text{Distance} = 294 \text{ miles} \] \[ \text{Speed} = \frac{294 \text{ miles}}{6 \text{ hours}} = 49 \text{ miles per hour} \]

3. For 7 hours: \[ \text{Distance} = 343 \text{ miles} \] \[ \text{Speed} = \frac{343 \text{ miles}}{7 \text{ hours}} = 49 \text{ miles per hour} \]

From these calculations, we find that the speed of the red car is consistently:

\[ \text{Speed of red car} = 49 \text{ miles per hour} \]

Summary:

• Speed of the blue car: 54 miles per hour
• Speed of the red car: 49 miles per hour

Conclusion:

The blue car is faster than the red car.