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 dislays 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
The constant of proportionality appears in the ratio between the number of people and the bus number. In this case, we can see that for each increase of 1 in the bus number, the number of people increases by 35. Therefore, the constant of proportionality is 35.
(1, 35)
To find the constant of proportionality in the given data table, we need to check if the ratio between the number of people and the bus number remains the same. Let's calculate the ratios for each row:
For the first row:
Ratio = 35 / 1 = 35/1 = 35
For the second row:
Ratio = 70 / 2 = 35
For the third row:
Ratio = 105 / 3 = 35
For the fourth row:
Ratio = 140 / 4 = 35
Based on the calculations, we can see that the ratio remains constant at 35 for all the rows. Therefore, the constant of proportionality is 35.
So, the answer in the ordered pair form would be (35, 1).
To find the ratio at which the constant of proportionality appears in the data table, we need to examine the relationship between the number of buses and the corresponding number of people they can fit.
Let's calculate the ratios for each data point by dividing the number of people by the number of buses:
Ratio for (0 buses): 0/0 = undefined
Ratio for (1 bus): 35/1 = 35
Ratio for (2 buses): 70/2 = 35
Ratio for (3 buses): 105/3 = 35
Ratio for (4 buses): 140/4 = 35
As we can see, the ratio remains constant at 35 for all data points. Therefore, the constant of proportionality appears at the ratio (4, 35).
Answer: (4, 35)