Question
Jordan compared 10 books at the school library. The following table shows the number of chapters and the total number of pages for each book.
Number of Chapters 2 7 8 12 14 15 17 18 19 20
Total Pages 21 72 84 92 87 141 190 185 198 210
Which of the following representations is most appropriate to show the relationship between the number of chapters and the total pages of a book?
line graph titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 2 comma 21, 7 comma 72, 8 comma 84, 12 comma 92, 14 comma 87, 15 comma 141, 17 comma 190, 18 comma 185, 19 comma 198, and 20 comma 210
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 2 comma 21, 7 comma 72, 8 comma 84, 12 comma 92, 14 comma 87, 15 comma 141, 17 comma 190, 18 comma 185, 19 comma 198, and 20 comma 210
line graph titled school library, with the x axis labeled number of chapters ranging from 0 to 20 and the y axis labeled total pages ranging from 0 to 275 with points at 2 comma 21, 7 comma 72, 8 comma 84, 12 comma 92, 14 comma 87, 15 comma 141, 17 comma 190, 18 comma 185, 19 comma 198, and 20 comma 210
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 20 and the y axis labeled total pages ranging from 0 to 275 with points at 2 comma 21, 7 comma 72, 8 comma 84, 12 comma 92, 14 comma 87, 15 comma 141, 17 comma 190, 18 comma 185, 19 comma 198, and 20 comma 210
Number of Chapters 2 7 8 12 14 15 17 18 19 20
Total Pages 21 72 84 92 87 141 190 185 198 210
Which of the following representations is most appropriate to show the relationship between the number of chapters and the total pages of a book?
line graph titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 2 comma 21, 7 comma 72, 8 comma 84, 12 comma 92, 14 comma 87, 15 comma 141, 17 comma 190, 18 comma 185, 19 comma 198, and 20 comma 210
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 2 comma 21, 7 comma 72, 8 comma 84, 12 comma 92, 14 comma 87, 15 comma 141, 17 comma 190, 18 comma 185, 19 comma 198, and 20 comma 210
line graph titled school library, with the x axis labeled number of chapters ranging from 0 to 20 and the y axis labeled total pages ranging from 0 to 275 with points at 2 comma 21, 7 comma 72, 8 comma 84, 12 comma 92, 14 comma 87, 15 comma 141, 17 comma 190, 18 comma 185, 19 comma 198, and 20 comma 210
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 20 and the y axis labeled total pages ranging from 0 to 275 with points at 2 comma 21, 7 comma 72, 8 comma 84, 12 comma 92, 14 comma 87, 15 comma 141, 17 comma 190, 18 comma 185, 19 comma 198, and 20 comma 210
Answers
GPT-4o mini
To represent the relationship between the number of chapters and the total pages of each book, the most appropriate choice would be a scatter plot. This is because a scatter plot is ideal for showing the relationship between two numerical variables, allowing us to see if there is any correlation between the number of chapters and the total pages.
Among the options provided:
1. The first and third options are line graphs. While they can show trends over time or similar continuous data, they might not be suitable for this dataset, as the data points do not represent a continuous increase.
2. The second and fourth options are scatter plots. However, the second option uses an x-axis range of 0 to 38, which is unnecessary since the maximum number of chapters in the dataset is 20.
3. The fourth option, a scatter plot with the x-axis labeled from 0 to 20 and the y-axis from 0 to 275, accurately reflects the data range and allows for a clear visual representation of the relationship.
Therefore, the most appropriate representation to show the relationship between the number of chapters and the total pages of a book is:
**Scatter plot titled "School Library," with the x-axis labeled "Number of Chapters" ranging from 0 to 20 and the y-axis labeled "Total Pages" ranging from 0 to 275, including points for the given data.**
Among the options provided:
1. The first and third options are line graphs. While they can show trends over time or similar continuous data, they might not be suitable for this dataset, as the data points do not represent a continuous increase.
2. The second and fourth options are scatter plots. However, the second option uses an x-axis range of 0 to 38, which is unnecessary since the maximum number of chapters in the dataset is 20.
3. The fourth option, a scatter plot with the x-axis labeled from 0 to 20 and the y-axis from 0 to 275, accurately reflects the data range and allows for a clear visual representation of the relationship.
Therefore, the most appropriate representation to show the relationship between the number of chapters and the total pages of a book is:
**Scatter plot titled "School Library," with the x-axis labeled "Number of Chapters" ranging from 0 to 20 and the y-axis labeled "Total Pages" ranging from 0 to 275, including points for the given data.**