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.

Answer 1

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).