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 number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as a ordered pair inside the parentheses provided. (1 point)
The constant of proportionality appears in the ratio of "Number of Rolls of Paper Towels" to "Number of Cases Ordered".
So, the ordered pair that represents this ratio is (12, 1).
To determine the ratio at which the constant of proportionality appears in the data table, we can divide the number of rolls by the number of cases for each row:
- For the first row: (12 rolls / 1 case) = 12
- For the second row: (36 rolls / 3 cases) = 12
- For the third row: (60 rolls / 5 cases) = 12
- For the fourth row: (120 rolls / 10 cases) = 12
As we can see, the ratio is consistently 12. Therefore, the constant of proportionality in the data table is (12, 1).
To find the ratio at which the constant of proportionality appears in the data table, we need to look for a consistent relationship between the number of cases ordered and the corresponding number of rolls of paper towels.
From the table, we can see that as the number of cases ordered increases, the number of rolls of paper towels also increases.
Let's calculate the ratio between the number of rolls of paper towels and the number of cases ordered for each data point:
For the first data point: 12 rolls / 1 case = 12/1 = 12
For the second data point: 36 rolls / 3 cases = 36/3 = 12
For the third data point: 60 rolls / 5 cases = 60/5 = 12
For the fourth data point: 120 rolls / 10 cases = 120/10 = 12
We can observe that the ratio is constant at 12 for all the data points.
Therefore, the ratio at which the constant of proportionality appears in the data table is (12, 1).