A restaurant is placing a order for paper towels. The data table shows the amount of paper towels 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.
Number of case ordered: 1,3,5,10
Number of rolls of paper towels: 12, 36, 60, 120
To find the constant of proportionality, we need to find the ratio between the number of rolls of paper towels and the number of cases ordered. We can do this by dividing the number of rolls by the number of cases.
For the given data, let's calculate the ratio for each pair of values:
(12/1) = 12
(36/3) = 12
(60/5) = 12
(120/10) = 12
As we can see, the ratio is constant at 12 for all the pairs. Therefore, the constant of proportionality appears as the ratio (12, 12).
To determine the constant of proportionality, we can divide the number of rolls of paper towels by the number of cases ordered.
For the given data:
For 1 case, the number of rolls of paper towels is 12.
For 3 cases, the number of rolls of paper towels is 36.
For 5 cases, the number of rolls of paper towels is 60.
For 10 cases, the number of rolls of paper towels is 120.
The ratios of rolls to cases are:
(12/1), (36/3), (60/5), (120/10)
Simplifying these ratios, we get:
(12), (12), (12), (12)
The constant of proportionality appears as (12, 12) in the data table.