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 the desired distance he created the data table. At which ratio does the constant of proportionality appear?
Hours-Miles walked
1/4-1
1/2-2
3/4-3
1-4
(1 point)
Responses
(1/4,1)
(4, 1)
(4, 1)
(1, 4)
(1, 4)
(1,1/4)
The ratio in the table is (1/2, 2).
(1/4,1)
(4, 1)
(4, 1)
(1, 4)
(1, 4)
(1,1/4)
chose from one of these
The correct ratio that represents the constant of proportionality in the table is (1/4, 1).
To determine at which ratio the constant of proportionality appears in the given data table, we need to compare the values of hours and miles walked.
Looking at the data, we see that Julian walks 2 miles in 1/2 hour. To find the constant of proportionality, we divide the number of miles by the number of hours:
2 miles / (1/2 hour) = 2 miles * (2/1 hour) = 4 miles per hour.
Therefore, the constant of proportionality is 4, indicating that Julian walks 4 miles for every 1 hour.
From the options given in the question, the correct ratio where the constant of proportionality appears is (4, 1).