Question

Carly took a total of 15 quizzes over the course of 5 weeks. How many weeks of school will Carly have to attend this quarter before she will have taken a total of 24 quizzes? Assume the relationship is directly proportional.​

Answer 1

She would have to attend a total of 8 weeks. So only 3 more classes because they take 3 quizzes a week

Answer 2

Carly will have to attend school for 8 weeks before she takes a total of 24 quizzes.

Explanation:

To determine the number of weeks Carly will have to attend school before she takes a total of 24 quizzes, we need to first calculate the proportion of quizzes taken to weeks attended by dividing the number of quizzes taken by the number of weeks attended:

Proportion = Number of quizzes taken / Number of weeks attended

Proportion = 15 quizzes / 5 weeks

Proportion = 3 quizzes / week

Next, we can use this proportion to calculate the number of weeks Carly will have to attend school before she takes 24 quizzes by multiplying the number of quizzes Carly wants to take by the reciprocal of the proportion:

Number of weeks = Number of quizzes / Proportion

Number of weeks = 24 quizzes / 3 quizzes/week

Number of weeks = 8 weeks

Therefore, Carly will have to attend school for 8 weeks before she takes a total of 24 quizzes.