Use the table to answer the question
Number of Cases Ordered Number of Rolls of Paper Towels
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. Al 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)
It says it's wrong bot
Apologies for the confusion. Let's reassess the data table to find the correct ratio with the constant of proportionality:
Number of Cases Ordered | Number of Rolls of Paper Towels
--------------------------------------------------------
12 | 3
36 | 5
60 | 10
120 | ???
To find the constant of proportionality, we need to determine the ratio between the number of cases ordered and the number of rolls of paper towels in each row. Let's calculate the ratios:
For the first row: 12 cases / 3 rolls = 4 cases per roll
For the second row: 36 cases / 5 rolls = 7.2 cases per roll
For the third row: 60 cases / 10 rolls = 6 cases per roll
For the fourth row: 120 cases / ??? rolls
Based on the values calculated, there is no consistent ratio between the number of cases ordered and the number of rolls of paper towels. Therefore, we cannot determine a specific ratio with a constant of proportionality from the given data table.
Where's the answer?
Apologies for the confusion. Based on the given data table, it appears that there is no consistent ratio with a constant of proportionality. Therefore, we cannot provide an ordered pair as the answer.
To find the ratio in the data table that represents the constant of proportionality, we need to determine the ratio between the number of rolls of paper towels and the number of cases ordered.
Let's calculate these ratios:
Ratio 1: 3 rolls / 12 cases = 1/4
Ratio 2: 5 rolls / 36 cases = 5/36
Ratio 3: 10 rolls / 60 cases = 1/6
Ratio 4: 120 rolls / 120 cases = 1
From the calculations above, we can see that Ratio 4: (1, 1) represents the constant of proportionality because the ratio is equal to 1, which means that the number of rolls is always equal to the number of cases ordered.
Therefore, the answer is (1, 1).
To find the ratio in the data table where the constant of proportionality appears, we need to look for a consistent relationship between the number of cases ordered and the number of rolls of paper towels.
Let's examine the data table:
Number of Cases Ordered / Number of Rolls of Paper Towels
12 / 3
36 / 5
60 / 10
120 / ?
To determine if there is a constant of proportionality, we need to check if the ratio between the number of cases and the number of rolls remains the same for each entry.
Let's calculate the ratios for each entry:
12 / 3 = 4
36 / 5 = 7.2
60 / 10 = 6
120 / ? = ?
To find the missing number in the last entry, we can use cross multiplication.
Cross multiplication:
4 * ? = 6 * 10
4? = 60
? = 60 / 4
? = 15
The ratio for the final entry is 120 / 15 = 8.
Therefore, the constant of proportionality appears in the ratio (12, 4).
The constant of proportionality is the ratio between the number of cases ordered and the number of rolls of paper towels. We can find this ratio by dividing the number of rolls by the number of cases:
12 rolls / 3 cases = 4 rolls per case
36 rolls / 5 cases = 7.2 rolls per case
60 rolls / 10 cases = 6 rolls per case
120 rolls / 20 cases = 6 rolls per case
From the table, the ratio 6 rolls per case appears in each row. Therefore, the constant of proportionality is (6, 1).