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 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.

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.

1 answer

To find the scatterplot that correctly represents the data from the table, we need to analyze the data points.

The data points from the table are:

  • 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

From these values, the correct coordinate points are:

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

Now, we can analyze the responses:

  1. The first response has incorrect points (2, 21) and (3, 14).
  2. The second response has the correct points.
  3. The third response has (3, 8), which is incorrect.
  4. The fourth response has (3, 8) and (6, 14), both of which are incorrect.

Therefore, the correct scatterplot that represents the data is the second response, which has the coordinates matching the data points accurately.

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