It takes Julian 1/2 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. (1,1/4)
B. (4,1)
C.(1/4,1)
D.(1,4)

1 answer

The constant of proportionality appears when the ratio between the distance and the time is constant. Looking at the data table, we can see that the distance is increasing while the time is constant at 1/2 hour.

The only ratio that remains constant is the ratio between the distance and the time, which is 2 miles / (1/2 hour) = 4 miles/hour.

Therefore, the constant of proportionality appears at ratio (4,1).

The answer is D.(1,4).