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.
The constant of proportionality can be found by calculating the ratio of the number of rolls to the number of cases.
For the first ratio, 12 rolls / 1 case = 12.
For the second ratio, 36 rolls / 3 cases = 12.
For the third ratio, 60 rolls / 5 cases = 12.
For the fourth ratio, 120 rolls / 10 cases = 12.
Therefore, the constant of proportionality appears at the ratio (12,12).
To identify the ratio in the data table where the constant of proportionality appears, we need to determine the relationship between the number of cases ordered and the number of rolls of paper towels.
Let's calculate the ratios for each set of data:
For the first set, the ratio is 12/1 = 12.
For the second set, the ratio is 36/3 = 12.
For the third set, the ratio is 60/5 = 12.
For the fourth set, the ratio is 120/10 = 12.
As we can see, the ratio remains constant at 12 for all sets of data.
Therefore, the constant of proportionality appears at the ratio (12, 12).
To identify the constant of proportionality, we need to determine the ratio between the number of cases ordered and the number of rolls of paper towels for each data point.
Ratio = Number of Rolls / Number of Cases
For the given data table:
Ratio for the first data point: 12 rolls / 1 case = 12
Ratio for the second data point: 36 rolls / 3 cases = 12
Ratio for the third data point: 60 rolls / 5 cases = 12
Ratio for the fourth data point: 120 rolls / 10 cases = 12
As we can see, the ratio between the number of rolls and the number of cases is constant for all the data points. Therefore, the constant of proportionality in the data table is 12.
The answer is (12, 1).