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 ratio at which the constant of proportionality appears in the data table, we need to identify a ratio that remains the same throughout. Let's examine the table:
| Buses | People |
|-------|---------|
| 1 | 35 |
| 2 | 70 |
| 3 | 105 |
| 4 | 140 |
If we observe the number of people and the number of buses, we can see a consistent pattern that for each additional bus, 35 more people can fit. Therefore, the constant of proportionality appears in the ratio (1, 35).
So, the answer is (1, 35).
To determine the ratio at which the constant of proportionality appears, we need to identify the ratio that remains constant throughout the data table.
The table is not provided, so we cannot identify the specific ratios. However, the constant of proportionality appears when the ratio between the number of people and the number of buses remains constant throughout.
Let's assume the ratio of people to buses is p:b.
If the constant of proportionality appears, it means that as the number of people (p) increases or decreases, the number of buses (b) also increases or decreases by the same factor.
For example, if the initial ratio is 20:1 (20 people to 1 bus), then the constant of proportionality would be 20. This means that for every 20 additional people, another bus will be needed.
Without the actual data table, it is not possible to determine the ratio at which the constant of proportionality appears.
here is the table Buses Number of People 0 to 0. 1 to 35. 2 to 70. 3 to 105. 4 to 140.
Thank you for providing the table:
Buses Number of People
0 to 0
1 to 35
2 to 70
3 to 105
4 to 140
To determine the ratio at which the constant of proportionality appears, we need to identify the ratio that remains constant throughout the data table.
Looking at the data, we see that the number of people increases by 35 for each additional bus. Therefore, the ratio of people to buses is constant throughout the table:
(35:1), (70:2), (105:3), (140:4)
The constant of proportionality appears at the ratio (35:1). So the answer is (35, 1).
To identify the constant of proportionality, we need to look for a ratio where the number of people is directly proportional to the number of buses. In other words, as the number of people increases, the number of buses increases by the same factor.
Let's examine the data table:
```
Number of People | Number of Buses
25 | 1
50 | 2
75 | 3
100 | 4
125 | 5
```
We can calculate the ratio of the number of people to the number of buses for each row in the table:
```
(25, 1) => 25 / 1 = 25
(50, 2) => 50 / 2 = 25
(75, 3) => 75 / 3 = 25
(100, 4) => 100 / 4 = 25
(125, 5) => 125 / 5 = 25
```
As we can see, the ratio of the number of people to the number of buses remains constant at 25. Therefore, the constant of proportionality appears at the ratio (25, 1).
So, the answer is (25, 1).