A restaurant is placing an 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 constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.
It looks like part of your question might be missing, as I don't have the actual data table with the amounts of paper towel rolls and cases. However, I can explain how to find the constant of proportionality from such a table and write it as an ordered pair.
Assuming the data table has two columns, one for the number of rolls of paper towels and the other for the number of cases, you would find the constant of proportionality by dividing the number of paper towel rolls by the number of cases for each entry in the table. If the ratio is constant (that is, the same) for every entry, then the table represents a proportional relationship.
Here is how you might calculate the constant of proportionality:
1. Choose an entry from the table.
2. Divide the number of rolls by the number of cases.
3. Repeat steps 1 and 2 for each entry to verify that they all have the same ratio.
For example, let's say the table has an entry with 10 rolls and 2 cases. The ratio (constant of proportionality) would be 10 รท 2 = 5. If every entry in the table has this same ratio, then the constant of proportionality is 5.
As for writing it as an ordered pair inside parentheses, the ordered pair could either represent a single data point on a graph of rolls vs. cases or it could simply present the constant ratio (with the amount of rolls being the first number and the number of cases being the second). If we're taking the example above and want to represent the constant of proportionality as an ordered pair, it could be written as \( (5,1) \), which means that for every 1 case, there are 5 rolls of paper towels. If we're representing a specific entry like 10 rolls for 2 cases, the ordered pair would be \( (10,2) \), but this doesn't indicate the constant by itself.
To provide a precise answer and write the constant of proportionality as an ordered pair, I would need the specific amounts given in your data table. Please provide the data from the table and I can help you determine the constant of proportionality in the form of an ordered pair.