1-12
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. AT which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pain inside the parentheses provided.
( )
The constant of proportionality appears at the ratio (5, 60).
To determine the ratio at which the constant of proportionality appears in the data table, we need to examine the relationship between the number of cases and the amount of paper towel rolls.
Here's what we notice in the data table:
1-12
3-36
5-60
10-120
If we divide the amount of paper towel rolls by the number of cases for each entry, we can check if the ratio remains constant.
For the first entry: 12 / 1 = 12
For the second entry: 36 / 3 = 12
For the third entry: 60 / 5 = 12
For the fourth entry: 120 / 10 = 12
As we can see, the ratio remains constant at 12.
Therefore, the ratio at which the constant of proportionality appears in the data table is (12).
To determine the ratio at which the constant of proportionality appears in the data table, we need to look for a consistent relationship between the number of cases and the amount of paper towel rolls.
Let's calculate the ratios for each set of data:
1-12: ratio = 12/1 = 12
3-36: ratio = 36/3 = 12
5-60: ratio = 60/5 = 12
10-120: ratio = 120/10 = 12
As we can see, the ratio is consistently 12 for all sets of data. Therefore, the constant of proportionality appears at a ratio of 12.
The answer to the question is (12).