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.
(1 point)
The ratio of the number of rolls of paper towels to the number of cases is constant at 12. Thus, the constant of proportionality appears at the ratio (12, 1).
I beileve thats wrong
Apologies for the confusion.
Let's calculate the ratio of the number of rolls of paper towels to the number of cases for each data point:
For the first data point, with 1 case and 12 rolls of paper towels, the ratio is 12/1 = 12.
For the second data point, with 3 cases and 36 rolls of paper towels, the ratio is 36/3 = 12.
For the third data point, with 5 cases and 60 rolls of paper towels, the ratio is 60/5 = 12.
For the fourth data point, with 10 cases and 120 rolls of paper towels, the ratio is 120/10 = 12.
As we can see, the ratio is constant at 12 for each data point. So the constant of proportionality appears at the ratio (12,1).
How do i write that?
Apologies once again for the confusion. The correct answer is:
The constant of proportionality appears at the ratio (number of rolls of paper towels, number of cases) of (12, 1).
Use the table to answer the question.
Buses Number of People
0 0
1 35
2 70
3 105
4 140
A tour bus company is planning a trip through Utah’s national parks. The company plans to use 4 buses. Combined, the buses can fit up to 140 people. The table provided displays the number of people-to-bus ratio. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.
To find the constant of proportionality in the data table, we need to identify a ratio that remains constant throughout the table.
Let's calculate the ratio of the number of people to the number of buses for each data point:
For the first data point, with 0 buses and 0 people, the ratio is 0/0 = undefined.
For the second data point, with 1 bus and 35 people, the ratio is 35/1 = 35.
For the third data point, with 2 buses and 70 people, the ratio is 70/2 = 35.
For the fourth data point, with 3 buses and 105 people, the ratio is 105/3 = 35.
For the fifth data point, with 4 buses and 140 people, the ratio is 140/4 = 35.
As we can see, the ratio of the number of people to the number of buses is constant at 35 for each data point. Therefore, the constant of proportionality appears at the ratio (35, 1).
So, the answer is: (35, 1).
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.
To find the constant of proportionality in the data table, we need to identify a ratio that remains constant throughout the table.
Let's calculate the ratio of the number of cups of flour to the number of loaves of bread for each data point:
For the first data point, with 1 cup of flour and 12 loaves of bread, the ratio is 12/1 = 12.
For the second data point, with 2 cups of flour and 1 loaf of bread, the ratio is 1/2 = 0.5.
For the third data point, with 3 cups of flour and 112 loaves of bread, the ratio is 112/3 = 37.333.
For the fourth data point, with 4 cups of flour and 2 loaves of bread, the ratio is 2/4 = 0.5.
As we can see, the ratio of the number of cups of flour to the number of loaves of bread is not constant for each data point. Therefore, there is no constant of proportionality in this data table.
So, the answer is: N/A
Number of Adults 1 2 3 5 10 100
Cost of Tickets ($) 75 150 225 375 750 7,500
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.