The constant of proportionality appears in the table when the ratio of miles to hours remains the same. This occurs at every point in the table. However, to determine the exact point, we can calculate the ratio of miles to hours for each pair of values.
For the first pair, the ratio is 1 mile / 1/4 hour = 4 miles/hour.
For the second pair, the ratio is 2 miles / 1/2 hour = 4 miles/hour.
For the third pair, the ratio is 3 miles / 3/4 hour = 4 miles/hour.
For the fourth pair, the ratio is 4 miles / 1 hour = 4 miles/hour.
So, the constant of proportionality appears at every point in the table. Therefore, the correct option is:
A. (1 , 4)
hours miles
1/4 1
1/2 2
3/4 3
1 4
It takes Julian 1/2 an 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 point does the constant of proportionality appear?
A. (1 , 4)
B. (4 , 1)
C. ( 1 , 1/4)
D. (1/4 ,1)
2 answers
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