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 Parenthese provided.
There is no given data table provided. Please provide the data table so we can determine the answer.
To determine the ratio in the data table where the constant of proportionality appears, we need to look for a relationship where one variable is directly proportional to the other. In this case, the amount of paper towel rolls is directly proportional to the number of cases.
Looking at the data table, let's find a ratio where the amount of paper towel rolls and the number of cases have a constant ratio.
Let's analyze the data table provided. Since we don't have the actual data table, I will give an example of what it might look like:
Amount of Paper Towel Rolls | Number of Cases
----------------------------|-----------------
1 | 2
2 | 4
3 | 6
4 | 8
In this example, we can see that the ratio between the amount of paper towel rolls and the number of cases is constant:
(1, 2) -> (2, 4) -> (3, 6) -> (4, 8)
The ratio between the amount of paper towel rolls and the number of cases is always 1:2. Therefore, the constant of proportionality appears at the ratio (1, 2).
So, the answer is ordered pair: (1, 2)
To determine the ratio in the data table where the constant of proportionality appears, we need to look for a consistent relationship between the number of paper towel rolls and the number of cases.
Let's look at the data table:
Number of Paper Towel Rolls (x) | Number of Cases (y)
--------------------------------------
1 | 3
2 | 6
3 | 9
4 | 12
We can calculate the ratio by dividing the number of paper towel rolls by the number of cases for each row:
1/3 = 0.33
2/6 = 0.33
3/9 = 0.33
4/12 = 0.33
As we can see, the ratio is consistently equal to 0.33 for each row in the data table. Therefore, the constant of proportionality appears at the ratio (1, 3).
So, the answer is (1, 3).