Use the table to answer the question. Number of Cases Ordered Number of Rolls of Paper Towels 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 pair inside the parentheses provided.,/
(3, 36)
not the right answer
Apologies for the incorrect response earlier. Let's analyze the given data to determine the correct answer.
When we look at the table, we can see that as the number of cases ordered increases, the number of rolls of paper towels also increases. This indicates a direct relationship between the number of cases and the number of rolls.
To find the constant of proportionality, we need to calculate the ratio between the number of rolls and the number of cases for each pair of values.
For the given data, let's calculate the ratios:
Ratio for the first pair: 12/1 = 12
Ratio for the second pair: 36/3 = 12
Ratio for the third pair: 60/5 = 12
Ratio for the fourth pair: 120/10 = 12
As we can see, the ratio remains constant at 12 for all the pairs of values.
Therefore, the constant of proportionality appears at the ratio (12, 1).
Sorry for the confusion caused.
nope
Apologies for the confusion. Let's analyze the given data again:
Number of Cases Ordered | Number of Rolls of Paper Towels
-------------------------------------
1 | 12
3 | 36
5 | 60
10 | 120
To find the ratio where the constant of proportionality appears, we need to calculate the ratio between the number of rolls and the number of cases for each pair of values.
Ratio for the first pair: 12/1 = 12
Ratio for the second pair: 36/3 = 12
Ratio for the third pair: 60/5 = 12
Ratio for the fourth pair: 120/10 = 12
As we can see, the ratio remains constant at 12 for all the pairs of values.
Therefore, the constant of proportionality appears at the ratio (12, 1).
I apologize, my previous response was incorrect. Thank you for your patience.
Use the table to answer the question. Pounds of Bananas Cost ($) 2 2.50 3 3.75 5 6.25 7 8.75 Determine if the quantities in the data table are in a proportional relationship. If the quantities have a proportional relationship, answer 1. If the quantities do not have a proportional relationship, answer 2.
To determine if the quantities in the data table have a proportional relationship, we need to check if the ratios between the pounds of bananas and the cost remain constant.
Let's calculate the ratios for each pair of values:
- Ratio for the first pair: 2.50/2 = 1.25
- Ratio for the second pair: 3.75/3 = 1.25
- Ratio for the third pair: 6.25/5 = 1.25
- Ratio for the fourth pair: 8.75/7 = 1.25
As we can see, the ratio between the pounds of bananas and the cost is consistent and remains constant at 1.25 for all pairs of values.
Therefore, the quantities in the data table are in a proportional relationship.
The answer is: 1.
Use the table to answer the question. Cups of Flour Loaves of Bread 1 12 2 1 3 112 4 2 A bakery is making loaves of French bread. The recipe calls for 2 cups of flour per loaf of bread. The data table shows how much flour the bakery needs depending on the number of loaves it intends to make. At 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)
To find the constant of proportionality in the data table, we need to calculate the ratio between the cups of flour and the number of loaves for each pair of values.
According to the table:
Ratio for the first pair: 12/1 = 12
Ratio for the second pair: 1/2 = 0.5
Ratio for the third pair: 112/3 ≈ 37.33
Ratio for the fourth pair: 2/4 = 0.5
As we can see, the ratios between the cups of flour and the number of loaves are not consistent. They do not have a common constant value, indicating that the data in the table does not have a proportional relationship.
Therefore, there is no specific ratio in the data table where the constant of proportionality appears.
The answer is: N/A or not applicable.