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 1 5 6 8 10 11 13 15 17 20
Total Pages 13 48 67 85 86 135 128 162 170 215

Which of the following representations is most appropriate to show the relationship between the number of chapters and the total pages of a book?
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 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215
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 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215
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 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215
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 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215

Answer 1

The most appropriate representation to show the relationship between the number of chapters and the total pages of a book would be a 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 (1,13), (5,48), (6,67), (8,85), (10,86), (11,135), (13,128), (15,162), (17,170), and (20,215). This is because a scatter plot is used to display the relationship between two quantitative variables. The line graph would not be appropriate because it implies a continuous relationship between the two variables.