Final answer:
To calculate the time Ms. Beller will take to grade 45 remaining quizzes, we use the rate of 63 quizzes per 49 minutes. The calculation leads to approximately 35 minutes, making the answer (a) 35.57 minutes.
Step-by-step explanation:
The student's question involves calculating the time it takes Ms. Beller to grade a certain number of quizzes given her grading speed. Ms. Beller graded 63 quizzes in 49 minutes, so her rate is 63 quizzes / 49 minutes. To find out how many minutes it will take her to grade the remaining 45 quizzes, we use the unit rate:
Rate = Number of Quizzes / Time
Time = Number of Quizzes / Rate
Time to grade 45 quizzes = 45 quizzes / (63 quizzes / 49 minutes)
Simplifying the above expression, we get:
Time to grade 45 quizzes = 45 quizzes × (49 minutes / 63 quizzes) = 45/63 × 49 minutes
Time to grade 45 quizzes = 0.714285714 × 49 minutes
Time to grade 45 quizzes = 35 minutes (approximately)
So the approximate time required to grade the remaining quizzes is 35 minutes. Therefore, the answer is (a) 35.57 minutes.