To determine the constant of proportionality for the relationship between the number of buses and the number of people, we can look at the given data.
The ratio of people per bus can be calculated by dividing the number of people by the number of buses. For the data provided:
- For 1 bus with 35 people: \( \frac{35}{1} = 35 \)
- For 2 buses with 70 people: \( \frac{70}{2} = 35 \)
- For 3 buses with 105 people: \( \frac{105}{3} = 35 \)
- For 4 buses with 140 people: \( \frac{140}{4} = 35 \)
The constant ratio (people to bus ratio) remains the same, which is 35 for all values of buses.
The constant of proportionality can be represented as an ordered pair. The value of the constant is between the number of buses and the number of people; when there are 1 bus, the number of people is 35.
Thus, the ordered pair will be:
(1, 35)
This indicates that for 1 bus, there are 35 people, demonstrating the constant ratio of people to buses.