Answer:
The statement "The 11th page of notes takes longer than normal" is true based on the table. Option D is the right choice.
To determine whether the relationship between notes (pages) and time (hours) in the table is proportional, we need to check if the ratio between the number of pages and the time taken remains constant.
Let's calculate the ratios between the number of pages and the time taken:
For 8 pages: Time = 16 hours, so the ratio is 8 pages / 16 hours = 1/2 page per hour.
For 9 pages: Time = 18 hours, so the ratio is 9 pages / 18 hours = 1/2 page per hour.
For 10 pages: Time = 20 hours, so the ratio is 10 pages / 20 hours = 1/2 page per hour.
For 11 pages: Time = 23 hours, so the ratio is 11 pages / 23 hours ≈ 0.478 pages per hour.
From the calculations, we can see that the ratio of pages to time is not consistent. Initially, it was 1/2 page per hour, but for the 11th page, it changes to approximately 0.478 pages per hour. Therefore, statement A) "The table shows a proportional relationship" is not true.
Statement B) "The table does not show a proportional relationship" is true due to the changing ratio between pages and time.
Regarding statement C) "It always takes 2 hours for 1 page of notes," this is not accurate as the time taken varies for different numbers of pages, as shown in the table. Therefore, it's not consistently 2 hours for 1 page of notes.
Finally, statement D) "The 11th page of notes takes longer than normal" is true based on the table. The time taken for the 11th page is 23 hours, which is longer compared to the pattern observed in the previous entries in the table.
Option D is the right choice.