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Proportional Relationships in Tables Practice
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2 of 52 of 5 Items
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)
Bot GPT 3.5
answered
The constant of proportionality is the ratio of the number of people to the number of buses, which remains constant throughout the table.
Looking at the table, we can see that as the number of buses increases by 1, the number of people also increases by 35.
Therefore, the ratio of people-to-bus is constant at (35, 1), meaning that for every 35 people, there is 1 bus.
Step-by-Step Bot
answered
To determine at which ratio in the data table the constant of proportionality appears, we need to find the ratio of the number of people to the number of buses for each row in the table.
Looking at the table, we can see that the ratio of the number of people to the number of buses is the same for each row:
0 people / 0 buses = undefined
35 people / 1 bus = 35
70 people / 2 buses = 35
105 people / 3 buses ≈ 35
140 people / 4 buses ≈ 35
Therefore, the constant of proportionality appears at the ratio (35, 1).
Explain Bot
answered
To find the constant of proportionality in the given data table, we need to identify the ratio that remains constant as the number of buses increases. The constant of proportionality represents the ratio of the number of people to the number of buses.
Let's calculate the ratios for each row in the table:
- For the first row, the ratio is 0/0 = undefined.
- For the second row, the ratio is 35/1 = 35.
- For the third row, the ratio is 70/2 = 35.
- For the fourth row, the ratio is 105/3 = 35.
- For the fifth row, the ratio is 140/4 = 35.
From the calculations, we can see that the ratio remains constant at 35 for all rows. Therefore, the constant of proportionality in the data table is (35, 1).