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Number of Laps versus the Day

The amount of laps a student swam every day for a week is shown in the table.
Day 1 2 3 4 5 6 7
Number of Laps 18 12 10 15 13 20 9
A student was swimming laps for exercise. The table shows how many laps he swam each day. Which scatterplot shows the correct representation of the data?

(1 point)
Responses

A coordinate plane is titled: Number of Laps Swam. It shows day on the x-axis from 0 to 7 in increments of 1. It shows number of laps on the y-axis from 0 to 20 in increments of 1.
The approximate data points are as follows: left parenthesis 1 comma 18 right parenthesis, left parenthesis 2 comma 12 right parenthesis, left parenthesis 3 comma 8 right parenthesis, left parenthesis 4 comma 15 right parenthesis, left parenthesis 5 comma 13 right parenthesis, left parenthesis 6 comma 15 right parenthesis, and left parenthesis 7 comma 9 right parenthesis.
Image with alt text: A coordinate plane is titled: Number of Laps Swam. It shows day on the x-axis from 0 to 7 in increments of 1. It shows number of laps on the y-axis from 0 to 20 in increments of 1. The approximate data points are as follows: left parenthesis 1 comma 18 right parenthesis, left parenthesis 2 comma 12 right parenthesis, left parenthesis 3 comma 8 right parenthesis, left parenthesis 4 comma 15 right parenthesis, left parenthesis 5 comma 13 right parenthesis, left parenthesis 6 comma 15 right parenthesis, and left parenthesis 7 comma 9 right parenthesis.

A coordinate plane is titled: Number of Laps Swam. It shows day on the x-axis from 0 to 7 in increments of 1. It shows number of laps on the y-axis from 0 to 20 in increments of 1.
The approximate data points are as follows: left parenthesis 1 comma 18 right parenthesis, left parenthesis 2 comma 21 right parenthesis, left parenthesis 3 comma 14 right parenthesis, left parenthesis 4 comma 15 right parenthesis, left parenthesis 5 comma 11 right parenthesis, left parenthesis 6 comma 15 right parenthesis, and left parenthesis 7 comma 9 right parenthesis.
Image with alt text: A coordinate plane is titled: Number of Laps Swam. It shows day on the x-axis from 0 to 7 in increments of 1. It shows number of laps on the y-axis from 0 to 20 in increments of 1. The approximate data points are as follows: left parenthesis 1 comma 18 right parenthesis, left parenthesis 2 comma 21 right parenthesis, left parenthesis 3 comma 14 right parenthesis, left parenthesis 4 comma 15 right parenthesis, left parenthesis 5 comma 11 right parenthesis, left parenthesis 6 comma 15 right parenthesis, and left parenthesis 7 comma 9 right parenthesis.

A coordinate plane is titled: Number of Laps Swam. It shows day on the x-axis from 0 to 7 in increments of 1. It shows number of laps on the y-axis from 0 to 20 in increments of 1.
The approximate data points are as follows: left parenthesis 1 comma 18 right parenthesis, left parenthesis 2 comma 12 right parenthesis, left parenthesis 3 comma 8 right parenthesis, left parenthesis 4 comma 15 right parenthesis, left parenthesis 5 comma 13 right parenthesis, left parenthesis 6 comma 14 right parenthesis, and left parenthesis 7 comma 9 right parenthesis.
Image with alt text: A coordinate plane is titled: Number of Laps Swam. It shows day on the x-axis from 0 to 7 in increments of 1. It shows number of laps on the y-axis from 0 to 20 in increments of 1. The approximate data points are as follows: left parenthesis 1 comma 18 right parenthesis, left parenthesis 2 comma 12 right parenthesis, left parenthesis 3 comma 8 right parenthesis, left parenthesis 4 comma 15 right parenthesis, left parenthesis 5 comma 13 right parenthesis, left parenthesis 6 comma 14 right parenthesis, and left parenthesis 7 comma 9 right parenthesis.

A coordinate plane is titled: Number of Laps Swam. It shows day on the x-axis from 0 to 7 in increments of 1. It shows number of laps on the y-axis from 0 to 20 in increments of 1.
The approximate data points are as follows: left parenthesis 1 comma 18 right parenthesis, left parenthesis 2 comma 12 right parenthesis, left parenthesis 3 comma 10 right parenthesis, left parenthesis 4 comma 15 right parenthesis, left parenthesis 5 comma 13 right parenthesis, left parenthesis 6 comma 20 right parenthesis, and left parenthesis 7 comma 9 right parenthesis.
Image with alt text: A coordinate plane is titled: Number of Laps Swam. It shows day on the x-axis from 0 to 7 in increments of 1. It shows number of laps on the y-axis from 0 to 20 in increments of 1. The approximate data points are as follows: left parenthesis 1 comma 18 right parenthesis, left parenthesis 2 comma 12 right parenthesis, left parenthesis 3 comma 10 right parenthesis, left parenthesis 4 comma 15 right parenthesis, left parenthesis 5 comma 13 right parenthesis, left parenthesis 6 comma 20 right parenthesis, and left parenthesis 7 comma 9 right parenthesis.
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1 answer

To determine which scatterplot accurately represents the data from the table, we need to examine the data points given in the table:

  • Day 1: 18 laps
  • Day 2: 12 laps
  • Day 3: 10 laps
  • Day 4: 15 laps
  • Day 5: 13 laps
  • Day 6: 20 laps
  • Day 7: 9 laps

Now, looking at the provided scatterplots:

  1. First option:

    • (1, 18), (2, 12), (3, 8), (4, 15), (5, 13), (6, 15), (7, 9)
    • Incorrect - (3, 8) is not correct for Day 3.

  2. Second option:

    • (1, 18), (2, 21), (3, 14), (4, 15), (5, 11), (6, 15), (7, 9)
    • Incorrect - (2, 21) and (3, 14) do not match the data.

  3. Third option:

    • (1, 18), (2, 12), (3, 8), (4, 15), (5, 13), (6, 14), (7, 9)
    • Incorrect - (3, 8) and (6, 14) do not match the data.

  4. Fourth option:

    • (1, 18), (2, 12), (3, 10), (4, 15), (5, 13), (6, 20), (7, 9)
    • Correct - All these points match exactly with the data from the table.

Based on this analysis, the correct scatterplot representation of the data is the fourth option.