Question

Which situation represents a proportional relationship between the number of laps run by each student and their time? (Example 4)

A) Student A runs 5 laps in 10 minutes, while Student B runs 10 laps in 20 minutes.
B) Student A runs 3 laps in 15 minutes, while Student B runs 6 laps in 30 minutes.
C) Student A runs 8 laps in 12 minutes, while Student B runs 16 laps in 24 minutes.
D) Student A runs 2 laps in 5 minutes, while Student B runs 4 laps in 10 minutes.

Answer 1

Option D) Student A runs 2 laps in 5 minutes, while Student B runs 4 laps in 10 minutes.

Step-by-step explanation:

The situation that represents a proportional relationship between the number of laps run by each student and their time is option D) Student A runs 2 laps in 5 minutes, while Student B runs 4 laps in 10 minutes.

To determine if a relationship is proportional, we need to check if the ratio of laps to time is the same for both students. In this case:

Student A: 2 laps in 5 minutes, ratio = 2/5 = 0.4

Student B: 4 laps in 10 minutes, ratio = 4/10 = 0.4

Since the ratio of laps to time is the same for both students, the relationship is proportional.