Question

Jim runs laps around his block every morning before school. The graph shows a proportional relationship between time in minutes and the number of laps completed.

Identify the constant of proportionality from the graph.
Responses
A 2
B 3
C 2/3

D 3/2

Question 2
Identify the coordinates of point A, and describe point A in the context of the problem.
Responses
A (2, 3); If Jim runs 3 minutes, he completes 2 laps.(2, 3); If Jim runs 3 minutes, he completes 2 laps.
B (2, 3); If Jim runs 2 minutes, he completes 3 laps.(2, 3); If Jim runs 2 minutes, he completes 3 laps.
C (3, 2); If Jim runs 3 minutes, he completes 2 laps.(3, 2); If Jim runs 3 minutes, he completes 2 laps.
D (3, 2); If Jim runs 2 minutes, he completes 3 laps.(3, 2); If Jim runs 2 minutes, he completes 3 laps.

Answer 1

Question 1: D (3/2).
Since the relationship is proportional, k = laps/time = y/x. From the graph point A is (2, 3), so k = 3/2 laps per minute.

Question 2: B (2, 3); If Jim runs 2 minutes, he completes 3 laps.