A restaurant is placing an order for paper towel. 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 paper?
Write your answer as an ordered pair inside the parentheses provided
Since the constant of proportionality is the factor by which the number of cases is multiplied to get the number of rolls, we need to find a ratio in the data table that remains constant. Looking at the data table:
(Number of Rolls) : (Number of Cases)
(6, 1)
(24, 4)
(18, 3)
(30, 5)
The ratio between the number of rolls and the number of cases is constant at 6:1 for all the data points. Therefore, the constant of proportionality is paper is 6, and the ordered pair is (6, 1).
To find the ratio at which the constant of proportionality is paper, we need to look for a consistent ratio between the number of paper towel rolls and the number of cases in the data table.
First, let's examine the data table and observe the ratios. Here is an example of what the data table might look like:
Number of Rolls | Number of Cases
----------------|-----------------
2 | 1
4 | 2
6 | 3
8 | 4
To determine the constant of proportionality, we look for a pattern where the ratio of the number of rolls to the number of cases is consistent. In this case, the ratio is always 2 rolls per 1 case (2:1).
Hence, the constant of proportionality for paper towel in this data table is 2.
Writing the answer as an ordered pair, it would be (2, 1), with the ratio of 2:1 between the number of rolls and the number of cases.