Use the table to answer the question. busses 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 ratio where the constant of proportionality appears, we need to look for a consistent pattern in the table. The ratio in the table represents the number of people to the number of buses.
Looking at the table, we can see that as the number of buses increases by 1, the number of people increases by 35. This means that for every additional bus, 35 more people can be accommodated.
The constant of proportionality represents the rate of change between the number of people and the number of buses. In this case, the constant of proportionality is 35.
Therefore, the ratio where the constant of proportionality appears is (1, 35).
The constant of proportionality appears when there is a constant ratio between the number of people and the number of buses. From the given data, we can see that for every 1 bus, there are 35 people, for every 2 buses, there are 70 people, and for every 3 buses, there are 105 people. However, when we look at the ratio of 4 buses to 140 people, it is also equal to 35 people per bus. Therefore, the constant of proportionality appears at the ratio (4, 140).
The constant of proportionality appears as the ratio of the number of people to the number of buses. Looking at the table, we can see that the ratio is increasing by 35 as the number of buses increases by 1. Therefore, the constant of proportionality is 35.
We can write this as an ordered pair: (1, 35).