The table shows how y, the total distance in meters that Milo runs, is related to x, the number of laps that he runs.

MILO'S RUNNING

Number of Laps Total Distance (meters)
2 800
4 1,600
6 2,400
8 3,200
10 4,000
Which graph shows this relationship?

A.
The graph has number from 0 to 10 on the x-axis and 0 to 4,000 in increments of 400 on the y-axis. A straight line start from (0,0) and passes through the points (5, 1,600), and (10, 3,200).

B.
The graph has number from 0 to 10 on the x-axis and 0 to 4,000 in increments of 400 on the y-axis. A straight line start from (0,0) and passes through the points (1, 400), (2, 800), (3, 1,200), (4, 1,600), (5, 2,00), (6, 2,400), (7, 2,800), (8, 3,200), (9, 3,600), and (10, 4,000).

C.
The graph has number from 0 to 10 on the x-axis and 0 to 4,000 in increments of 400 on the y-axis. A straight line start from (0,400) and connect to (10, 3,200).

D.
The graph has number from 0 to 10 on the x-axis and 0 to 4,000 in increments of 400 on the y-axis. A straight line start from (0,400) and connect to (10, 4,000).

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To determine the correct graph that shows the relationship between the number of laps (x) and the total distance (y) that Milo runs, we can analyze the data provided:

The total distance in meters is directly proportional to the number of laps, with each lap corresponding to 400 meters. Here’s the breakdown:

- For 2 laps: \( y = 2 \times 400 = 800 \)
- For 4 laps: \( y = 4 \times 400 = 1,600 \)
- For 6 laps: \( y = 6 \times 400 = 2,400 \)
- For 8 laps: \( y = 8 \times 400 = 3,200 \)
- For 10 laps: \( y = 10 \times 400 = 4,000 \)

From the calculations, we can deduce:

1. The relationship is linear.
2. The line starts at (0, 0) since if no laps are run, there’s no distance (0 distance).
3. All specified distances match the calculated values.

Now, let's analyze the options:

- **Option : The line starts from (0, 0) but incorrectly mentions points (5, 1,600) and (10, 3,200), which are not valid based on the provided data.

- **Option B**: This graph correctly starts from (0, 0) and passes through all the calculated points, including (2, 800), (4, 1,600), (6, 2,400), (8, 3,200), and (10, 4,000). This accurately represents the data provided.

- **Option C**: The line starts from (0, 400), which is incorrect, as the distance at 0 laps should be 0.

- **Option D**: Similar to option C, this starts from (0, 400) and is also incorrect.

The correct choice is **B**.