Use the table to answer the question.

Hours Miles walked
1/4 1
1/2 2
3/4 3
1 4
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?

answers

(1/4 , 1)

(1, 1/4)

(4,1)

(1,4)

1 answer

The constant of proportionality is the ratio between the miles walked and the corresponding hours taken. In this case, the constant of proportionality is 2 miles per 1/2 hour, or 4 miles per hour.
Looking at the table, the ratio (1,4) represents the correct constant of proportionality, as it shows that for every 1 hour, Julian walks 4 miles.
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