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)
21 answers
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).
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).
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.
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.
Use the table to answer the question. Hours Biked Miles Traveled 1 12 2 26 3 30 4 48 Determine if the quantities in the data table are in a proportional relationship. If they do not have a proportional relationship, indicate why. (1 point) Responses No, you can’t bike 12 miles in an hour. No, you can’t bike 12 miles in an hour. No, not all of the ratios are proportional or have equivalence. No, not all of the ratios are proportional or have equivalence. No, none of the ratios have equivalence. No, none of the ratios have equivalence. Yes, this 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 hour corresponds to 12 miles: 1/12
2 hours correspond to 26 miles: 2/26 = 1/13
3 hours correspond to 30 miles: 3/30 = 1/10
4 hours correspond to 48 miles: 4/48 = 1/12
We can see that the ratios are not all equal. For example, the ratio 2/26 and 3/30 do not equal 1/12. Therefore, the quantities in the data table are not in a proportional relationship. The correct response is:
No, not all of the ratios are proportional or have equivalence.
Let's calculate the ratios for the given data pairs:
1 hour corresponds to 12 miles: 1/12
2 hours correspond to 26 miles: 2/26 = 1/13
3 hours correspond to 30 miles: 3/30 = 1/10
4 hours correspond to 48 miles: 4/48 = 1/12
We can see that the ratios are not all equal. For example, the ratio 2/26 and 3/30 do not equal 1/12. Therefore, the quantities in the data table are not in a proportional relationship. The correct response is:
No, not all of the ratios are proportional or have equivalence.
Use the table to answer the question. Hours Money ($) 1 9 2 18 3 27 4 36 Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why. (1 point) Responses No, the ratio of 1 hour to $9 is not proportional. No, the ratio of 1 hour to $9 is not proportional. Yes, the ratios are in a proportional relationship. Yes, the ratios are in a proportional relationship. No, the ratio of 3 hours to $27 is not proportional. No, the ratio of 3 hours to $27 is not proportional. No, the ratios are not equivalent.
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 hour corresponds to $9: 1/9
2 hours correspond to $18: 2/18 = 1/9
3 hours correspond to $27: 3/27 = 1/9
4 hours correspond to $36: 4/36 = 1/9
We can observe that all the ratios are equal to 1/9. Since the ratios are equivalent, we can conclude that the quantities in the data table are in a proportional relationship. The correct response is:
Yes, the ratios are in a proportional relationship.
Let's calculate the ratios for the given data pairs:
1 hour corresponds to $9: 1/9
2 hours correspond to $18: 2/18 = 1/9
3 hours correspond to $27: 3/27 = 1/9
4 hours correspond to $36: 4/36 = 1/9
We can observe that all the ratios are equal to 1/9. Since the ratios are equivalent, we can conclude that the quantities in the data table are in a proportional relationship. The correct response is:
Yes, the ratios are in a proportional relationship.
are you sure
Apologies for the mistake. I made an error in my response.
The correct calculations are:
1 hour corresponds to $9: 1/9
2 hours correspond to $18: 2/18 = 1/9
3 hours correspond to $27: 3/27 = 1/9
4 hours correspond to $36: 4/36 = 1/9
As we can see, all the ratios are equal to 1/9. Therefore, the quantities in the data table are indeed in a proportional relationship.
The correct response is:
Yes, the ratios are in a proportional relationship.
The correct calculations are:
1 hour corresponds to $9: 1/9
2 hours correspond to $18: 2/18 = 1/9
3 hours correspond to $27: 3/27 = 1/9
4 hours correspond to $36: 4/36 = 1/9
As we can see, all the ratios are equal to 1/9. Therefore, the quantities in the data table are indeed in a proportional relationship.
The correct response is:
Yes, the ratios are in a proportional relationship.
Thanks!
You're welcome! If you have any more questions, feel free to ask.
Use the table to answer the question. Number of Cases Ordered Number of Rolls of Paper Towels 1 12 3 36 5 60 10 120 A restaurant is placing an order for paper towels. The data table shows the amount of paper towel rolls compared to the number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.
To determine the ratio at which the constant of proportionality appears, we need to calculate the ratio of the number of rolls of paper towels to the number of cases ordered.
Let's calculate the ratios for the given data pairs:
For 1 case, there are 12 rolls: 12/1 = 12
For 3 cases, there are 36 rolls: 36/3 = 12
For 5 cases, there are 60 rolls: 60/5 = 12
For 10 cases, there are 120 rolls: 120/10 = 12
We can see that the ratio of the number of rolls to the number of cases ordered is consistently 12.
Therefore, the constant of proportionality appears at the ratio (12, 1).
The correct response is: (12, 1)
Let's calculate the ratios for the given data pairs:
For 1 case, there are 12 rolls: 12/1 = 12
For 3 cases, there are 36 rolls: 36/3 = 12
For 5 cases, there are 60 rolls: 60/5 = 12
For 10 cases, there are 120 rolls: 120/10 = 12
We can see that the ratio of the number of rolls to the number of cases ordered is consistently 12.
Therefore, the constant of proportionality appears at the ratio (12, 1).
The correct response is: (12, 1)
not the right answe
Apologies for the mistake. Let's reanalyze the data:
To identify the ratio at which the constant of proportionality appears, we need to check the relationship between the number of rolls of paper towels and the number of cases ordered.
Let's calculate the ratios for the given data pairs:
For 1 case, there are 12 rolls: 12/1 = 12
For 3 cases, there are 36 rolls: 36/3 = 12
For 5 cases, there are 60 rolls: 60/5 = 12
For 10 cases, there are 120 rolls: 120/10 = 12
We can see that the ratio of the number of rolls to the number of cases ordered is consistently 12.
Therefore, the constant of proportionality appears at the ratio (12, 1).
The correct response is: (12, 1)
To identify the ratio at which the constant of proportionality appears, we need to check the relationship between the number of rolls of paper towels and the number of cases ordered.
Let's calculate the ratios for the given data pairs:
For 1 case, there are 12 rolls: 12/1 = 12
For 3 cases, there are 36 rolls: 36/3 = 12
For 5 cases, there are 60 rolls: 60/5 = 12
For 10 cases, there are 120 rolls: 120/10 = 12
We can see that the ratio of the number of rolls to the number of cases ordered is consistently 12.
Therefore, the constant of proportionality appears at the ratio (12, 1).
The correct response is: (12, 1)
1 answer