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.
The constant of proportionality is the ratio between the number of people and the number of buses. In the given data table, the number of people increases by 35 for each increase of 1 in the number of buses.
So, the ratio of people to buses is 35:1.
Therefore, the constant of proportionality appears at the ratio (35, 1).
wrong
Apologies for the incorrect response. Let's try to find the ratio where the constant of proportionality appears.
Looking at the data table, if we divide the number of people by the number of buses, we can identify the ratio:
For the first ratio: 0 people / 0 buses = undefined.
For the second ratio: 1 person / 1 bus = 1.
For the third ratio: 35 people / 2 buses = 17.5.
For the fourth ratio: 70 people / 3 buses ≈ 23.3.
For the fifth ratio: 105 people / 4 buses = 26.25.
For the sixth ratio: 140 people / 4 buses = 35.
We observe that the ratio 1:1 appears in the data table. Therefore, the constant of proportionality appears at the ratio (1, 1).