Scatter Plots Quick Check

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Question
Use the table to answer the question.

Number of Laps versus the Day

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 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 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 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.
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1 answer

To find the correct representation of the data in a scatter plot based on the given table, we can analyze the number of laps swum each day:

Here is the data provided:

  • 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 we can match the data points to each of the coordinate planes and determine which one accurately reflects the values from the table.

Data Points:

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

Review the Options:

  1. First option:

    • Points: (1, 18), (2, 12), (3, 8), (4, 15), (5, 13), (6, 14), (7, 9)
    • Incorrect because Day 3 is listed as (3, 8) and Day 6 is (6, 14).
  2. Second option:

    • Points: (1, 18), (2, 21), (3, 14), (4, 15), (5, 11), (6, 15), (7, 9)
    • Incorrect because Day 2 is listed as (2, 21) and Day 3 as (3, 14).
  3. Third option:

    • Points: (1, 18), (2, 12), (3, 10), (4, 15), (5, 13), (6, 20), (7, 9)
    • Correct! This matches the given data points accurately.
  4. Fourth option:

    • Points: (1, 18), (2, 12), (3, 8), (4, 15), (5, 13), (6, 20), (7, 9)
    • However, this option is noted as the same as the first one, which is incorrect.

Conclusion:

The third option is the correct scatter plot that accurately represents the data provided in the table.

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