Question

Pamela took a total of 20 quizzes over the course of 2 weeks. How many weeks of school will Pamela have to attend this quarter before she will have taken a total of 30 quizzes? Assume the relationship is directly proportional.

A) Pamela took 20 quizzes in 2 weeks, so to take 30 quizzes, she needs...
B) If 20 quizzes are taken in 2 weeks, attending school for how many weeks is required to reach 30 quizzes?
C) Given that Pamela took 20 quizzes in 2 weeks, how many weeks does she need to attend school for 30 quizzes?
D) Calculate the number of school weeks Pamela needs to reach 30 quizzes, assuming a direct proportionality.

Answer 1

Pamela will need to attend school for 3 weeks to take a total of 30 quizzes.

Step-by-step explanation:

To find out how many weeks of school Pamela will have to attend to take a total of 30 quizzes, we can set up a proportion using the relationship we know: 20 quizzes in 2 weeks.

Let x represent the number of weeks Pamela needs to attend school for 30 quizzes.

Using the proportion: 20 quizzes / 2 weeks = 30 quizzes / x weeks

Now we can cross-multiply: 20x = 2 * 30.

Simplifying, we have 20x = 60.

Dividing both sides by 20, we find that x = 3.

Therefore, Pamela will need to attend school for 3 weeks in order to take a total of 30 quizzes.