You are completing a math assessment. The number of questions you complete and the time it takes you to complete them have a proportional relationship, as shown in the table.

Question

Number of Questions 6 11
Time (in minutes) 15 ?

How much time does it take to complete 11 questions?
27 minutes, 30 seconds
20 minutes
13 minutes, 30 seconds
5 minutes

Answer 1

To find the time it takes to complete 11 questions, we can set up a proportion using the given information.

Using the table, we can see that completing 6 questions takes 15 minutes. This can be written as:

6 questions / 15 minutes

To find the time it takes to complete 11 questions, we let x represent the unknown time:

11 questions / x minutes

Since these ratios are proportional, we can set them equal to each other and solve for x:

6/15 = 11/x

Cross-multiplying, we get:

6x = 165

Dividing both sides by 6, we find:

x = 165/6 = 27.5

Therefore, it takes 27 minutes and 30 seconds to complete 11 questions.

The correct answer is: 27 minutes, 30 seconds.