Question
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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The constant of proportionality appears at the ratio (35,1) in the data table.
The constant of proportionality appears at the ratio (number of people / number of buses). In the given data table, the ratio remains constant at 35. Therefore, the answer is (35, 1).
To find the ratio at which the constant of proportionality appears, we need to compare the number of people to the number of buses.
Looking at the table, we can see that for every increase in the number of buses, the number of people increases by 35. This means that there is a constant ratio of 35 people per bus.
To express this as an ordered pair, we can write (35,1). In this case, 35 represents the number of people and 1 represents the number of buses.
Therefore, the constant of proportionality appears at the ratio (35,1).