Question

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.

Buses Number of people
0. 0
1. 35
2. 70
3. 105
4. 140

Answer 1

The constant of proportionality in the data table is (35, 1), indicating that for each additional bus, the number of people increases by 35.

The given data table shows the number of people associated with each bus, ranging from 0 to 4 buses. To identify the constant of proportionality, we can examine the ratios between the number of people and the corresponding number of buses.

The ratios are as follows:

0/0 (undefined, as we cannot have zero buses with zero people)

35/1

70/2 = 35/1

105/3 = 35/1

140/4 = 35/1

The constant of proportionality appears to be 35/1 since this ratio remains consistent for all cases. In other words, for each additional bus, the number of people increases by 35. Therefore, the constant of proportionality is (35, 1).