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.

Question

Number of cases ordered | Number of rolls of paper towels
1 12
3 36
5 60
10 120

Answer 1

The constant of proportionality represents the ratio between the number of cases ordered and the number of rolls of paper towels. To find this ratio, we can divide the number of rolls by the number of cases for each entry in the data table.

For the first entry, the ratio is 12 rolls / 1 case = 12.

For the second entry, the ratio is 36 rolls / 3 cases = 12.

For the third entry, the ratio is 60 rolls / 5 cases = 12.

For the fourth entry, the ratio is 120 rolls / 10 cases = 12.

Since the ratio is always 12, the constant of proportionality appears at the ratio (12, 1).