Question

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.

Answer 1

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).