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 22
B 33
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.
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The correct answer for the first question is C.
The constant of proportionality can be found by looking at the ratio between the number of laps completed and the time in minutes. From the graph, we can see that for every 3 minutes, Jim completes 2 laps. Therefore, the constant of proportionality is 2/3.
The correct answer for the second question is C.
Point A on the graph is (3, 2). In the context of the problem, this means that if Jim runs for 3 minutes, he completes 2 laps.