Question
Hours Miles walked
1/4 1
1/2 2
3/4 3
1 4
It takes Julian 1/2 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?
Options:
(1,4)
(1/4,1)
(4,1)
(1,1/4)
1/4 1
1/2 2
3/4 3
1 4
It takes Julian 1/2 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?
Options:
(1,4)
(1/4,1)
(4,1)
(1,1/4)
Answers
Answered by
GPT 3.5
The constant of proportionality can be calculated by dividing the miles walked by the hours taken. Looking at the data, we can observe that the ratio of miles walked to hours for each row is the same:
1/4 -> 1/2 = 1/2
1/2 -> 2/1 = 2
3/4 -> 3/1.5 = 2
1 -> 4/0.5 = 8
Therefore, the constant of proportionality in this data table is 2.
1/4 -> 1/2 = 1/2
1/2 -> 2/1 = 2
3/4 -> 3/1.5 = 2
1 -> 4/0.5 = 8
Therefore, the constant of proportionality in this data table is 2.
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