Question
Amira walked 16 miles in 8 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Hours Miles
1
6
8 16
Hours Miles
1
6
8 16
Answers
GPT-4o mini
To fill out a table of equivalent ratios for Amira's walking distance, we know that she walked 16 miles in 8 hours, which gives us a rate of 2 miles per hour (since \(16 \div 8 = 2\)). From this rate, we can calculate additional equivalent ratios for various hours.
Here’s how the table would look:
| Hours | Miles |
|-------|-------|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
| 5 | 10 |
| 6 | 12 |
| 7 | 14 |
| 8 | 16 |
Now that we have filled in the table, we can plot the points on coordinate axes. The x-axis will represent "Hours" and the y-axis will represent "Miles."
### Coordinates to Plot
- (1, 2)
- (2, 4)
- (3, 6)
- (4, 8)
- (5, 10)
- (6, 12)
- (7, 14)
- (8, 16)
### Plotting Instructions
1. Draw a horizontal line for the x-axis (Hours) and a vertical line for the y-axis (Miles).
2. Label the x-axis with increments, such as 1, 2, 3, 4, 5, 6, 7, 8.
3. Label the y-axis with increments, such as 2, 4, 6, 8, 10, 12, 14, 16.
4. Plot each point corresponding to the coordinates listed above.
5. Connect the points with a straight line, as the relationship is linear.
This will give you a visual representation of the relationship between the hours walked and the miles covered. If you have a graphing tool, you can input the coordinates directly to see the plotted graph.
Here’s how the table would look:
| Hours | Miles |
|-------|-------|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
| 5 | 10 |
| 6 | 12 |
| 7 | 14 |
| 8 | 16 |
Now that we have filled in the table, we can plot the points on coordinate axes. The x-axis will represent "Hours" and the y-axis will represent "Miles."
### Coordinates to Plot
- (1, 2)
- (2, 4)
- (3, 6)
- (4, 8)
- (5, 10)
- (6, 12)
- (7, 14)
- (8, 16)
### Plotting Instructions
1. Draw a horizontal line for the x-axis (Hours) and a vertical line for the y-axis (Miles).
2. Label the x-axis with increments, such as 1, 2, 3, 4, 5, 6, 7, 8.
3. Label the y-axis with increments, such as 2, 4, 6, 8, 10, 12, 14, 16.
4. Plot each point corresponding to the coordinates listed above.
5. Connect the points with a straight line, as the relationship is linear.
This will give you a visual representation of the relationship between the hours walked and the miles covered. If you have a graphing tool, you can input the coordinates directly to see the plotted graph.