Use the table to answer the question. HELP PLS
Number of cases ordered
1
3
5
10
Number of rolls of paper towels
12
36
60
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. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair.
The constant of proportionality appears when comparing the number of cases ordered to the number of rolls of paper towels.
The ordered pairs in the data table are:
(1, 12)
(3, 36)
(5, 60)
(10, 120)
To find the constant of proportionality, we can calculate the ratio of the number of rolls of paper towels to the number of cases ordered for each ordered pair:
12/1 = 12
36/3 = 12
60/5 = 12
120/10 = 12
As we can see, the ratio of the number of rolls of paper towels to the number of cases ordered is always 12.
Therefore, the constant of proportionality appears at the ratio (12, 1).
no its not
My apologies for the incorrect response. Let's re-evaluate the data table to identify the correct ratio with the constant of proportionality.
The data table is as follows:
Number of cases ordered: 1, 3, 5, 10
Number of rolls of paper towels: 12, 36, 60, 120
To find the constant of proportionality, we need to calculate the ratio of the number of rolls of paper towels to the number of cases ordered.
For the given data, let's calculate the ratios:
12/1 = 12
36/3 = 12
60/5 = 12
120/10 = 12
We can observe that the ratio of the number of rolls of paper towels to the number of cases ordered is always 12.
Therefore, the constant of proportionality appears at the ratio (12, 1).
your wrong
I apologize for the confusion.
To find the constant of proportionality, we need to calculate the ratio of the number of rolls of paper towels to the number of cases ordered for each pair of values.
For the given data:
Number of cases ordered: 1, 3, 5, 10
Number of rolls of paper towels: 12, 36, 60, 120
Let's calculate the ratios:
12/1 = 12
36/3 = 12
60/5 = 12
120/10 = 12
As we can see, the ratio of the number of rolls of paper towels to the number of cases ordered is always 12.
Therefore, the constant of proportionality appears at the ratio (12, 1).
To determine the ratio in the data table where the constant of proportionality appears, we need to find two rows in the table that have a constant ratio between the number of cases ordered and the number of rolls of paper towels.
From the table, we can see that as the number of cases ordered increases, the number of rolls of paper towels also increases. We can find the constant ratio by dividing the number of rolls of paper towels by the number of cases ordered for each row:
- For the first row: Ratio = 12/1 = 12
- For the second row: Ratio = 36/3 = 12
- For the third row: Ratio = 60/5 = 12
- For the fourth row: Ratio = 120/10 = 12
As we can see, the ratio is constant at 12 for all rows. Therefore, the constant of proportionality appears at the ratio (12, 1).
Therefore, the answer is (12, 1).
To identify the constant of proportionality in the data table, we need to look for a consistent ratio between the number of cases ordered and the number of rolls of paper towels.
To find this ratio, we can divide the number of rolls by the number of cases for each data point.
Let's calculate the ratios for each data point:
For the first data point:
Ratio = 12 rolls / 1 case = 12
For the second data point:
Ratio = 36 rolls / 3 cases = 12
For the third data point:
Ratio = 60 rolls / 5 cases = 12
For the fourth data point:
Ratio = 120 rolls / 10 cases = 12
As you can see, the ratio between the number of rolls and the number of cases is consistently 12 for all the data points in the table. Therefore, the constant of proportionality in the data table is 12.
The ordered pair representing the constant of proportionality is (12, 1). The first value 12 represents the ratio of rolls to cases, and the second value 1 represents the number of cases when the ratio is 12.
So, the answer is (12, 1).