Use the table to answer the question. 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. (1 point)
(3, 12)
1 1/2 2 1 3 1 1/2 4 2 A bakery is making loaves of French bread. The recipe calls for 2 cups of flour per loaf of bread. The data table shows how much flour the bakery needs depending on the number of loaves it intends to make. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided. (1 point)
(2, 1)
The ratio in the data table where the constant of proportionality appears can be found by dividing the number of rolls of paper towels by the number of cases ordered.
Using the given data:
For the first ratio: (Number of rolls of paper towels) / (Number of cases ordered) = 12 / 1 = 12.
For the second ratio: (Number of rolls of paper towels) / (Number of cases ordered) = 36 / 3 = 12.
For the third ratio: (Number of rolls of paper towels) / (Number of cases ordered) = 60 / 5 = 12.
For the fourth ratio: (Number of rolls of paper towels) / (Number of cases ordered) = 120 / 10 = 12.
We can see that the constant of proportionality, 12, appears in every ratio.
Therefore, the answer is (12, 1).
To find the ratio at which the constant of proportionality appears in the data table, we need to examine the relationship between the number of cases ordered and the number of rolls of paper towels.
Looking at the table, we can see that as the number of cases ordered increases, the number of rolls of paper towels also increases. This indicates a direct proportional relationship between the two variables.
To determine the ratio at which the constant of proportionality appears, we can divide the number of rolls of paper towels by the number of cases ordered for each data point in the table.
For the given data table, the ratios would be:
- (12/1) = 12
- (36/3) = 12
- (60/5) = 12
- (120/10) = 12
As we can see, the ratio 12 appears consistently for all the data points. Therefore, the constant of proportionality appears at the ratio (1, 12) in the data table.