A tour bus is traveling at a constant speed. The relationship between its time and distance is shown in the graph. 50 450 400 350 300 250 200 150 100 50 1 2 3 45 678 9 10 Time (Hours) Which statement is correct? • The origin (0, 0) is the independent quantity and the time values are the dependent quantities. O The time values are the independent quantities and the distance values are the dependent quantities. O The distance values are the independent quantities and the time values are the dependent quantities. O The rate of 50 miles per hour is the independent quantity and the distance values are the dependent quantities. Distance (Miles)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 15E
Topic Video
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### Exploring the Relationship Between Time and Distance

A tour bus is traveling at a constant speed. The relationship between its time and distance is shown in the graph below.

#### Distance vs. Time Graph

The graph presented is an example of how distance traveled by the tour bus depends on time. It is a Cartesian plot with the **x-axis** representing **Time (Hours)** and the **y-axis** representing **Distance (Miles)**. The graph includes evenly spaced grid lines for better visualization of data points.

- **Axes Description:**
  - The horizontal axis (x-axis) ranges from 0 to 10 hours.
  - The vertical axis (y-axis) ranges from 0 to 500 miles.

- **Data Trend:**
  - The data points indicate a straight diagonal line starting from the origin (0,0) and moving upwards to the right. This line suggests that as time increases, the distance traveled also increases in a consistent, linear fashion.

#### Multiple Choice Question

Which statement is correct?

1. **The origin (0, 0) is the independent quantity and the time values are the dependent quantities.**
2. The time values are the independent quantities and the distance values are the dependent quantities.
3. The distance values are the independent quantities and the time values are the dependent quantities.
4. The rate of 50 miles per hour is the independent quantity and the distance values are the dependent quantities.

The correct answer is indicated below:

- :large_blue_circle: The origin (0, 0) is the independent quantity and the time values are the dependent quantities.

By studying this graph, students can understand the fundamental relationship between time and distance for a vehicle traveling at a constant speed, interpreting linear relationships, and identifying dependent and independent variables in a given dataset.
Transcribed Image Text:### Exploring the Relationship Between Time and Distance A tour bus is traveling at a constant speed. The relationship between its time and distance is shown in the graph below. #### Distance vs. Time Graph The graph presented is an example of how distance traveled by the tour bus depends on time. It is a Cartesian plot with the **x-axis** representing **Time (Hours)** and the **y-axis** representing **Distance (Miles)**. The graph includes evenly spaced grid lines for better visualization of data points. - **Axes Description:** - The horizontal axis (x-axis) ranges from 0 to 10 hours. - The vertical axis (y-axis) ranges from 0 to 500 miles. - **Data Trend:** - The data points indicate a straight diagonal line starting from the origin (0,0) and moving upwards to the right. This line suggests that as time increases, the distance traveled also increases in a consistent, linear fashion. #### Multiple Choice Question Which statement is correct? 1. **The origin (0, 0) is the independent quantity and the time values are the dependent quantities.** 2. The time values are the independent quantities and the distance values are the dependent quantities. 3. The distance values are the independent quantities and the time values are the dependent quantities. 4. The rate of 50 miles per hour is the independent quantity and the distance values are the dependent quantities. The correct answer is indicated below: - :large_blue_circle: The origin (0, 0) is the independent quantity and the time values are the dependent quantities. By studying this graph, students can understand the fundamental relationship between time and distance for a vehicle traveling at a constant speed, interpreting linear relationships, and identifying dependent and independent variables in a given dataset.
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