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? (1 point) Responses (14, 1) left parenthesis Start Fraction 1 over 4 End Fraction comma 1 right parenthesis (1, 14) left parenthesis 1 comma Start Fraction 1 over 4 End Fraction right parenthesis (4, 1) left parenthesis 4 comma 1 right parenthesis (1, 4)
The ratio at which the constant of proportionality appears is (1, 4).
Ruth can read 15 pages in 30 minutes. She decides to create a table to keep track of her progress. From the data provided, at what ratio is the constant of proportionality
The constant of proportionality can be found by dividing the number of pages by the number of minutes.
In this case, the constant of proportionality is 15 pages / 30 minutes = 1/2 pages per minute.
Therefore, the ratio at which the constant of proportionality appears is (1/2, 1).
Ruth can read 15 pages in 30 minutes. She decides to create a table to keep track of her progress. From the data provided, at what ratio is the constant of proportionality? (1 point) Responses (2, 60) left parenthesis 2 comma 60 right parenthesis (112, 30) left parenthesis 1 Start Fraction 1 over 2 End Fraction comma 30 right parenthesis (15, 12) left parenthesis 15 comma Start Fraction 1 over 2 End Fraction right parenthesis (1, 30)
The constant of proportionality can be found by dividing the number of pages by the number of minutes.
In this case, the constant of proportionality is 15 pages / 30 minutes = 1/2 pages per minute.
Therefore, the ratio at which the constant of proportionality appears is (1/2, 30).
you mean (1 1/2, 30)
Apologies for the confusion. You are correct. The ratio at which the constant of proportionality appears is (1 1/2, 30).
Use the table to answer the question. Time (min) 1 2 3 7 10 Water Used (gal) 5 10 15 35 50 Determine if the quantities in the data table re in a proportional relationship. If they do not have a proportional relationship, indicate why. (1 point) Responses No, the table does not count consecutively. No, the table does not count consecutively. No, the ratio 7:35 is not proportional to the other ratios. No, the ratio ratio of 7 to 35 is not proportional to the other ratios. No, the ratios are not equivalent. No, the ratios are not equivalent. Yes, the data table has a proportional relationship.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of the data pairs are equivalent.
Let's calculate the ratios for the given data pairs:
1 minute corresponds to 5 gallons: 1/5
2 minutes correspond to 10 gallons: 2/10 = 1/5
3 minutes correspond to 15 gallons: 3/15 = 1/5
7 minutes correspond to 35 gallons: 7/35 = 1/5
10 minutes correspond to 50 gallons: 10/50 = 1/5
We can observe that all the ratios are equal to 1/5. Since the ratios are equivalent, we can conclude that the quantities in the data table are in a proportional relationship. Therefore, the correct response is:
Yes, the data table has a proportional relationship.