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 is the ratio between the number of people and the number of buses. From the table, we can see that for every additional bus, the number of people increases by 35. Therefore, the constant of proportionality is (35, 1) because for every 35 people, there is 1 bus.
To find the constant of proportionality in the data table, we need to determine the ratio of the number of people to the number of buses for each entry in the table.
For example, when there are 1 bus, the ratio is 35 people/1 bus = 35/1 = 35.
When there are 2 buses, the ratio is 70 people/2 buses = 70/2 = 35.
Similarly, for 3 buses, the ratio is 105 people/3 buses = 105/3 = 35.
And for 4 buses, the ratio is 140 people/4 buses = 140/4 = 35.
We can observe that the ratio of people to buses remains constant at 35. Therefore, the constant of proportionality in the data table is (35, 1), or in ordered pair form: (number of people, number of buses).
Answer: (35, 1)
To find the ratio in the data table where the constant of proportionality appears, we need to look for a constant ratio between the number of buses and the number of people.
If we observe the given data table, we can see that as the number of buses increases by 1 from 0 to 4, the number of people increases by 35 each time.
So, the constant ratio is 35 people for every 1 bus.
Writing this as an ordered pair, the answer is:
(1, 35)