It takes Julian 1/2 hour to walk 2 miles. He decides to start working 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?
Data Table:
A. 1/4, 1
B. 1/2, 2
C. 3/4, 3
D. 1, 4
The constant of proportionality in this case would be the ratio of time to distance.
In the given data table, the ratio of time to distance in the first row is 1/4 (1/2 hour divided by 2 miles), while in the second row it is 1/2 (1 hour divided by 2 miles), in the third row it is 3/4 (1.5 hours divided by 2 miles), and in the fourth row it is 1 (2 hours divided by 2 miles).
Therefore, the ratio of 1/4 in the first row represents the constant of proportionality.
Answer: A. 1/4, 1