Question

Gabrielle took a total of 12 quizzes over the course of 4 weeks. How many weeks of school will Gabrielle have to attend this quarter before she will have taken a total of 15 quizzes? Assume the relationship is directly proportional.

a) 5 weeks
b) 6 weeks
c) 3 weeks
d) 4 weeks

Answer 1

After finding the rate of 3 quizzes per week, we calculate that Gabrielle needs 1 additional week on top of the 4 weeks already attended to take a total of 15 quizzes. The answer is 5 weeks in total.

Step-by-step explanation:

The student, Gabrielle, took 12 quizzes over 4 weeks. We want to find out how many weeks will she need to attend school to take a total of 15 quizzes, assuming a direct proportional relationship between quizzes and weeks. First, we determine the rate of quizzes per week, which is 12 quizzes / 4 weeks = 3 quizzes per week. To reach 15 quizzes, we divide the total quizzes desired by the rate: 15 quizzes / 3 quizzes per week = 5 weeks. Gabrielle has already attended 4 weeks, so we subtract the weeks already attended from the total needed: 5 weeks - 4 weeks = 1 additional week. Therefore, Gabrielle will have to attend 1 more week of school to reach a total of 15 quizzes, making the answer to the question (a) 5 weeks.