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.
The constant of proportionality appears in the ratio of "Number of rolls of paper towels" to "Number of cases ordered".
Looking at the data table, we can see that the ratio is constant at 12 rolls per case.
So, the ordered pair that represents the constant of proportionality is (12, 1).
thats wrong
Apologies for the confusion. Let's re-evaluate the table to find the ratio where the constant of proportionality appears.
Number of rolls of paper towels / Number of cases ordered:
12 / 1 = 12
36 / 3 = 12
60 / 5 = 12
120 / 10 = 12
From the table, we can observe that the ratio of the number of rolls of paper towels to the number of cases ordered is always 12.
Therefore, the constant of proportionality appears at the ratio (12, 1).
its still wrong, correct yourself
Apologies for the mistake. Upon re-evaluating the data table, we can determine the correct ratio where the constant of proportionality appears.
Let's calculate the ratio of "Number of rolls of paper towels" to "Number of cases ordered" for each row:
1 roll per case: 12 / 1 = 12
3 rolls per case: 36 / 3 = 12
5 rolls per case: 60 / 5 = 12
10 rolls per case: 120 / 10 = 12
We can see that the ratio remains constant at 12, indicating the constant of proportionality.
Therefore, the correct ordered pair representing the constant of proportionality is (12, 1).
To find the ratio in the data table where the constant of proportionality appears, we need to determine the ratio between the number of rolls of paper towels and the number of cases ordered for each data point.
Let's calculate the ratios:
Ratio for the first data point: Number of rolls of paper towels / Number of cases ordered = 12 / 1 = 12/1
Ratio for the second data point: Number of rolls of paper towels / Number of cases ordered = 36 / 3 = 36/3
Ratio for the third data point: Number of rolls of paper towels / Number of cases ordered = 60 / 5 = 60/5
Ratio for the fourth data point: Number of rolls of paper towels / Number of cases ordered = 120 / 10 = 120/10
From the ratios, we can observe that the ratio 12/1 is the same as the ratio 36/3. Therefore, the constant of proportionality appears at the ratio (12, 1).
So, the answer is: (12, 1)
To find the ratio in the data table where the constant of proportionality appears, we need to look for a consistent relationship between the number of cases ordered and the number of rolls of paper towels.
Let's divide the number of rolls of paper towels by the number of cases for each row of data:
For the first row, 12 rolls / 1 case = 12/1 = 12.
For the second row, 36 rolls / 3 cases = 36/3 = 12.
For the third row, 60 rolls / 5 cases = 60/5 = 12.
For the fourth row, 120 rolls / 10 cases = 120/10 = 12.
As we can see, in each case, the ratio between the number of rolls and the number of cases is 12.
Therefore, the constant of proportionality in this data table appears at the ratio (12, 1), which means for every 12 rolls of paper towels ordered, there is 1 case.