Use the table to answer the 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)
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1 answer

To find the constant of proportionality from the table, we need to determine the ratio of the number of people to the number of buses.

According to the table:

  • For 1 bus: 35 people → Ratio: 35/1 = 35
  • For 2 buses: 70 people → Ratio: 70/2 = 35
  • For 3 buses: 105 people → Ratio: 105/3 = 35
  • For 4 buses: 140 people → Ratio: 140/4 = 35

The constant of proportionality is consistent at 35 people per bus.

The ordered pair representing this ratio, which corresponds to 1 bus and 35 people, is (1, 35).

So the answer is:

(1, 35)