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 represents the ratio between the number of cases ordered and the number of rolls of paper towels. We can determine this ratio by dividing the number of rolls of paper towels by the corresponding number of cases ordered.
For example, for the first data point (1 case ordered, 12 rolls of paper towels), the ratio would be 12/1 = 12.
Similarly, for the second data point (3 cases ordered, 36 rolls of paper towels), the ratio would be 36/3 = 12.
We can see that the ratio is the same for all data points, indicating a constant of proportionality.
Therefore, the constant of proportionality in the data table appears as the ratio (12, 1).