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.
The constant of proportionality appears at the ratio where the number of people is directly proportional to the number of buses. In other words, if there are 2 buses, there will be twice as many people as if there was 1 bus.
Looking at the data table, we can see that when there are 4 buses, the number of people is 140. This means that the ratio is (140, 4).
Therefore, the answer is (140, 4).
In order to find the ratio at which the constant of proportionality appears, we need to analyze the given data table. However, since you have not provided the data table, I am unable to determine the exact values. Please provide the data table so that we can proceed with finding the ratio.
To find the ratio at which the constant of proportionality appears, we need to look for a constant ratio in the table.
Given the information that the combined capacity of the 4 buses is 140 people, we can make a table of the ratios of people to buses:
| Number of People | Number of Buses | Ratio |
|------------------|-----------------|---------------------|
| 20 | 1 | 20 ÷ 1 = 20 |
| 40 | 2 | 40 ÷ 2 = 20 |
| 60 | 3 | 60 ÷ 3 = 20 |
| 80 | 4 | 80 ÷ 4 = 20 |
As we can see, the ratio of people to buses remains constant at 20 in each row. Therefore, the constant of proportionality appears at the ratio (20, 1).