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)
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Remaining Attempts : 3

Answer 1

To find the constant of proportionality from the table, we can look for the ratio of the number of people to the number of buses.

From the table:

• With 0 buses, there are 0 people: (0, 0)
• With 1 bus, there are 35 people: (1, 35)
• With 2 buses, there are 70 people: (2, 70)
• With 3 buses, there are 105 people: (3, 105)
• With 4 buses, there are 140 people: (4, 140)

To identify the constant of proportionality, we observe that the ratio of people to buses can be calculated. We can do this by dividing the number of people by the number of buses for any non-zero entry:

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

Thus, the constant of proportionality is 35, which is consistent for all non-zero entries.

The ratio appears at multiple points in the table, but since the problem asks for an ordered pair, we can use the pair corresponding to 1 bus and 35 people.

Therefore, the ordered pair is:

(1, 35)