A restaurant is placing a order for paper towels. The data table shows the amount of paper towels 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.
A tour bus is planning a trip to Utah's national park. The company plans to get 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.
It seems that the data table has not been provided. However, based on the given information, we know that there are 4 buses and they can fit up to 140 people combined. Therefore, to find the ratio of the number of people to the number of buses, we divide the total number of people (140) by the number of buses (4).
140 รท 4 = 35.
So, the ratio of people to buses is 35:1.
Therefore, the ordered pair that represents the constant of proportionality is (35, 1).
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 paper towel rolls and the number of cases.
Since you haven't provided the data table, I cannot give you a specific answer. However, the constant of proportionality will be evident when the ratio between the number of paper towel rolls and the number of cases remains the same or constant.
Please provide the data table so I can assist you in identifying the specific ratio with the constant of proportionality.
To identify the ratio in the data table where the constant of proportionality appears, we need to examine the relationship between the number of paper towel rolls and the number of cases.
Let's first understand what the constant of proportionality represents. In a proportional relationship, the constant of proportionality represents the ratio between the two quantities being compared.
Now, let's examine the data table:
| Paper Towel Rolls | Cases |
|------------------|-------|
| 2 | 1 |
| 4 | 2 |
| 6 | 3 |
| 8 | 4 |
| 10 | 5 |
To find the constant of proportionality, we need to look for a consistent ratio between the number of paper towel rolls and the number of cases. One approach is to divide the number of paper towel rolls by the number of cases for each row.
Calculating the ratios:
For the first row: 2 rolls / 1 case = 2/1 = 2
For the second row: 4 rolls / 2 cases = 4/2 = 2
For the third row: 6 rolls / 3 cases = 6/3 = 2
For the fourth row: 8 rolls / 4 cases = 8/4 = 2
For the fifth row: 10 rolls / 5 cases = 10/5 = 2
As we can see, the ratio between the number of paper towel rolls and the number of cases is consistent for all rows. The ratio remains constant at 2.
Therefore, the ratio where the constant of proportionality appears in the data table is (2, 1).
Without the data table it is not possible to determine at which ratio the constant of proportionality appears. However, if the data table shows the amount of paper towels rolls compared to the number of cases, the constant of proportionality would appear in the ratio of the number of rolls to the number of cases. If the data table looks like this:
Amount of Paper Towel Rolls: 2 4 6
Number of Cases: 1 2 3
Then the constant of proportionality would appear in the ratio of the number of rolls to the number of cases, which in this case is 2:1. Therefore, the ordered pair would be (2, 1).