Final answer:
Tucker took notes at a rate of 3 pages per hour and needs 30 more pages. He will need to spend an additional 10 hours in class, bringing the total to 22 hours.
Step-by-step explanation:
To answer Tucker's question, we first need to find the unit rate of his note-taking during class time. Tucker took 36 pages of notes during 12 hours of class. This gives us a unit rate of 3 pages per hour (36 pages ÷ 12 hours = 3 pages/hour). Tucker wants to have a total of 66 pages of notes, and he already has 36 pages. Therefore, he needs an additional 66 - 36 = 30 more pages.
To find out how many hours Tucker will need to spend in class to take 30 more pages of notes, we divide the additional pages needed by the unit rate. This is calculated as 30 pages ÷ 3 pages/hour = 10 hours. Since Tucker has already spent 12 hours in class, the total hours he will need to spend in class to have 66 pages of notes is 12 hours + 10 hours = 22 hours.