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?

Question

Data Table: 1/4, 1
1/2, 2
3/4, 3
1, 4

Answer 1

The ratio of time to distance is constant in this data table. In each row, the time (in hours) and the distance (in miles) are directly proportional. For example, when Julian walks 1/2 hour, he walks 2 miles and when he walks 1 hour, he walks 4 miles. Therefore, the constant of proportionality in this data table is 1/2.