Scatter Plots Quick Check

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Question
Use the table to answer the question.

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 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 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 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.

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.

1 answer

To find the correct scatterplot that represents the data from the table, we need to analyze the values given for the number of laps swam each day:

  • 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, let's examine the options provided in the question:

  1. First scatterplot:

    • Day 1, 18 laps: (1, 18)
    • Day 2, 12 laps: (2, 12)
    • Day 3, 8 laps: (3, 8) - Incorrect (should be 10 laps)
    • Day 4, 15 laps: (4, 15)
    • Day 5, 13 laps: (5, 13)
    • Day 6, 14 laps: (6, 14) - Incorrect (should be 20 laps)
    • Day 7, 9 laps: (7, 9)
  2. Second scatterplot:

    • Day 1, 18 laps: (1, 18)
    • Day 2, 12 laps: (2, 12)
    • Day 3, 8 laps: (3, 8) - Incorrect (should be 10 laps)
    • Day 4, 15 laps: (4, 15)
    • Day 5, 13 laps: (5, 13)
    • Day 6, 15 laps: (6, 15) - Incorrect (should be 20 laps)
    • Day 7, 9 laps: (7, 9)
  3. Third scatterplot:

    • Day 1, 18 laps: (1, 18)
    • Day 2, 12 laps: (2, 12)
    • Day 3, 10 laps: (3, 10) - Correct
    • Day 4, 15 laps: (4, 15)
    • Day 5, 13 laps: (5, 13)
    • Day 6, 20 laps: (6, 20) - Correct
    • Day 7, 9 laps: (7, 9)
  4. Fourth scatterplot:

    • Day 1, 18 laps: (1, 18)
    • Day 2, 21 laps: (2, 21) - Incorrect (should be 12 laps)
    • Day 3, 14 laps: (3, 14) - Incorrect (should be 10 laps)
    • Day 4, 15 laps: (4, 15)
    • Day 5, 11 laps: (5, 11) - Incorrect (should be 13 laps)
    • Day 6, 15 laps: (6, 15) - Incorrect (should be 20 laps)
    • Day 7, 9 laps: (7, 9)

Based on this analysis, the third scatterplot provides the correct representation of the data, showing the points for days 1, 2, 3, 4, 5, 6, and 7 accurately according to the provided table.