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?
In order to determine at which ratio the constant of proportionality appears, we need to examine the data table provided. However, the data table has not been provided in the question. Please provide the data table so that we can correctly identify the ratio at which the constant of proportionality appears.
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
Apologies, but I still need the specific data table in order to identify the ratio at which the constant of proportionality appears.
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
number of cases orderd
1
3
5
10
number of rolls of paper towels
12
36
60
120
To determine the ratio at which the constant of proportionality appears, we need to examine the relationship between the number of cases ordered and the number of rolls of paper towels.
Let's calculate the ratio for each data point:
For the first data point, when 1 case is ordered, there are 12 rolls of paper towels. The ratio is 12:1.
For the second data point, when 3 cases are ordered, there are 36 rolls of paper towels. The ratio is 36:3.
For the third data point, when 5 cases are ordered, there are 60 rolls of paper towels. The ratio is 60:5.
For the fourth data point, when 10 cases are ordered, there are 120 rolls of paper towels. The ratio is 120:10.
To find the constant of proportionality, we need to find the common ratio among all these ratios. We can simplify each ratio:
12:1 = 12:1
36:3 = 12:1
60:5 = 12:1
120:10 = 12:1
As we can see, the constant of proportionality in this data table is 12:1, which means for every 12 rolls of paper towels, there is 1 case ordered.
Therefore, the answer is (12, 1).
wrong
Apologies for the incorrect response.
To determine the ratio at which the constant of proportionality appears, we need to examine the relationship between the number of cases ordered and the number of rolls of paper towels.
Let's calculate the ratio for each data point:
For the first data point, when 1 case is ordered, there are 12 rolls of paper towels. The ratio is 12:1.
For the second data point, when 3 cases are ordered, there are 36 rolls of paper towels. The ratio is 36:3, which simplifies to 12:1.
For the third data point, when 5 cases are ordered, there are 60 rolls of paper towels. The ratio is 60:5, which simplifies to 12:1.
For the fourth data point, when 10 cases are ordered, there are 120 rolls of paper towels. The ratio is 120:10, which again simplifies to 12:1.
As we can see, in all cases, the ratio between the number of rolls of paper towels and the number of cases ordered is always 12:1. This is the constant of proportionality.
Therefore, the correct answer is (12, 1).