Use the table to answer the question.

Question

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 point) .

Answer 1

To find the constant of proportionality, we can examine the relationship between the number of buses and the number of people in the table. The table indicates that with 4 buses, there are 140 people.

The constant of proportionality can be determined by calculating the ratio of people to buses.

For the entry with 4 buses and 140 people, the ratio is:

\[ \text{Ratio} = \left( \frac{\text{Number of People}}{\text{Number of Buses}} \right) = \left( \frac{140}{4} \right) = 35 \]

This means that for every bus, there are 35 people. So, the constant of proportionality appears in the data table at the ordered pair corresponding to 1 bus and 35 people.

Thus, the answer is (1, 35).