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
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To determine the ratio at which the constant of proportionality appears in the data table, we can divide the number of rolls of paper towels by the number of cases ordered. Let's calculate this ratio for each set of data:
For the first set of data:
Number of cases ordered: 1
Number of rolls of paper towels: 12
Ratio: 12/1 = 12
For the second set of data:
Number of cases ordered: 3
Number of rolls of paper towels: 36
Ratio: 36/3 = 12
For the third set of data:
Number of cases ordered: 5
Number of rolls of paper towels: 60
Ratio: 60/5 = 12
For the fourth set of data:
Number of cases ordered: 10
Number of rolls of paper towels: 120
Ratio: 120/10 = 12
From the calculations, we can see that the ratio 12 appears in all the data sets. Therefore, the constant of proportionality appears at the ratio (12, 1).
To find the ratio in the data table that represents the constant of proportionality, we need to find the ratio of the number of rolls of paper towels to the number of cases ordered.
Let's calculate the ratios for each case:
- For 1 case ordered: 12 rolls of paper towels
- For 3 cases ordered: 36 rolls of paper towels
- For 5 cases ordered: 60 rolls of paper towels
- For 10 cases ordered: 120 rolls of paper towels
Now, let's calculate the ratio for each case:
- For 1 case ordered: 12/1 = 12
- For 3 cases ordered: 36/3 = 12
- For 5 cases ordered: 60/5 = 12
- For 10 cases ordered: 120/10 = 12
As you can see, the ratio of the number of rolls of paper towels to the number of cases ordered is always 12. Therefore, the constant of proportionality appears at the ratio (12, 1).
thats wrong
The ratio of the number of rolls of paper towels to the number of cases ordered represents the constant of proportionality.
(12/1) = 12
(36/3) = 12
(60/5) = 12
(120/10) = 12
Therefore, the constant of proportionality in the data table is (12,1).