Use the table to answer the question.

Hours | Miles walked
14 | 1
12 | 2
34 | 3
1 | 4
It takes Julian 12 hour to walk 2 miles. He decides to start walking in his spare time, but because he wants to make sure he has enough time to go a desired distance he created the data table. At which ratio does the constant of proportionality appear?
A (1, 4)
B (14, 1)
C (1, 14)
D (4, 1)

1 answer

The constant of proportionality represents the relationship between the hours and miles walked. To find the constant of proportionality, we need to identify a ratio where the number of hours and the number of miles form a consistent relationship.

Looking at the table, we can see that when Julian walks for 14 hours, he walks 1 mile. This means that the ratio of hours to miles is 14:1.

Therefore, the ratio where the constant of proportionality appears is (14, 1).

Answer: A (14, 1)
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