A restaurant is placing an order for paper towels. The data table shows the amount of paper 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.
To identify the ratio in the data table where the constant of proportionality is present, we need to find the ratio that remains constant as the number of paper rolls and cases increases or decreases.
Data table:
Number of Paper Rolls (P) | Number of Cases (C)
----------------------------------------------
2 | 1
4 | 2
6 | 3
8 | 4
10 | 5
To find the ratio, we divide the number of paper rolls by the number of cases.
P/C ratio:
2/1 = 2
4/2 = 2
6/3 = 2
8/4 = 2
10/5 = 2
From the data table, we can see that the ratio of paper rolls to cases remains constant at 2 for each entry.
Therefore, the constant of proportionality in the data table appears at the ratio (2, 1).
To identify the ratio at which the constant of proportionality appears in the data table, we need to look for a consistent value for every change in the other variable.
Since the data table is not provided, I am unable to determine the exact values and calculate the pair of values. If you can provide the data table or specify the values, I would be happy to assist you further.
To determine the ratio at which the constant of proportionality appears in the data table, we need to understand what the constant of proportionality represents in this context.
In a proportional relationship, the constant of proportionality represents the ratio between the two quantities being compared. In this case, the quantities being compared are the number of paper rolls and the number of cases.
To find the constant of proportionality, we need to divide the number of paper rolls by the number of cases for each ratio in the data table and check if the result is the same for all ratios.
Let's assume the data table looks like this:
Number of Paper Rolls (x) | Number of Cases (y)
-------------------------------------
2 | 1
4 | 2
6 | 3
To find the constant of proportionality, we divide the number of paper rolls by the number of cases for each ratio:
For the first ratio (2:1), the division would be 2/1 = 2.
For the second ratio (4:2), the division would be 4/2 = 2.
For the third ratio (6:3), the division would be 6/3 = 2.
Since the result of the division is the same (2) for all ratios, the constant of proportionality in this data table is 2.
Thus, the ratio at which the constant of proportionality appears in the data table is (2:1).
Therefore, the answer to the question is (2, 1).