The constant of proportionality, in this case, is the ratio of the number of people to the number of buses. The provided table shows the following pairs of bus numbers to people:
0 buses - 0 people
1 bus - 35 people
2 buses - 70 people
3 buses - 105 people
4 buses - 140 people
From these pairings, you can see that each bus can carry 35 people (35 people per 1 bus). This is the constant of proportionality since per additional bus, there are an additional 35 people that can be accommodated.
To find the ratio where the constant of proportionality appears, we look for the simplest form where there is 1 bus involved. This is at the second row of the table:
1 bus - 35 people
So, the ordered pair with 1 bus that shows the constant of proportionality is (1, 35).
Buses: number of people
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.
1 answer