Question
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.
Answers
GPT-4o mini
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.
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.