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.
The constant of proportionality appears at the ratio of 12 rolls of paper towels for 1 case.
Therefore, the ordered pair is (1, 12).
To find the constant of proportionality in the data table, we need to observe the relationship between the number of cases ordered and the number of rolls of paper towels.
We can see that as the number of cases ordered increases, the number of rolls of paper towels also increases. In other words, the two quantities are directly proportional.
To find the constant of proportionality, we can choose any two corresponding values from the table and divide the number of rolls by the number of cases.
Let's choose the first two data points: (1, 12) and (3, 36).
The ratio of the number of rolls to the number of cases is:
12/1 = 12
36/3 = 12
As we can see, the ratio in both cases is 12.
Therefore, the constant of proportionality in the data table is (12, 12).
To determine the ratio in the data table at which the constant of proportionality appears, we need to identify two values that have a constant ratio. In this case, the ratio we are looking for is the number of rolls of paper towels to the number of cases ordered.
Examining the table, we can see that the ratio is constant at 12 rolls per case. This means that for every case ordered, there will always be 12 rolls of paper towels.
Therefore, the ratio where the constant of proportionality appears is (1, 12).
So, the ordered pair is (1, 12).