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.
0/0
1/35
2/70
3/105
4/140
The constant of proportionality appears at the ratio (1/35) because it is the only ratio in the table where the number of people is directly proportional to the number of buses.
The constant of proportionality appears at the ratio 1/35. Therefore, the ordered pair for the constant of proportionality is (1, 35).
To find the ratio at which the constant of proportionality appears, we need to look for a ratio that is consistent across the data table.
The constant of proportionality means that the ratio of the number of people to the number of buses remains the same.
Let's calculate the ratios for each option:
1. Ratio 1: 0/0 = undefined.
2. Ratio 2: 1/35 = 0.0286...
3. Ratio 3: 2/70 = 0.0286...
4. Ratio 4: 3/105 = 0.0286...
5. Ratio 5: 4/140 = 0.0286...
From the calculations, we can see that the ratios in options 2, 3, 4, and 5 are all the same, which means that the constant of proportionality appears at each of these ratios.
Therefore, the answer is (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.
buses: number of people:
0 0
1 35
2 70
3 105
4 140