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.
The constant of proportionality appears in the ratio between the number of bus and the number of people. In this case, the constant of proportionality is 35, as each bus can fit 35 people. Therefore, the ordered pair is (1, 35).
To find the constant of proportionality, 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 number of people increases by 35 each time the number of buses increases by 1. This means that each time we increase the number of buses by 1, the number of people increases by a constant amount of 35.
Therefore, the constant of proportionality is the number 35.
So the ratio at which the constant of proportionality appears is (1, 35).
To find the constant of proportionality in a table, we need to identify the ratio that remains constant as we move from one row to another.
Looking at the given table, we can see that as the number of buses increases, the number of people also increases. The ratio between the number of people (output) and the number of buses (input) is increasing by 35 each time.
To find the constant of proportionality, we can divide the change in output (number of people) by the change in input (number of buses). Let's calculate this for the given table:
Change in output: 140 - 0 = 140
Change in input: 4 - 0 = 4
Constant of proportionality = Change in output / Change in input = 140 / 4 = 35
So, the constant of proportionality in the data table is 35. This means that for each additional bus added, the number of people increases by 35.
Therefore, the ordered pair representing the constant of proportionality is (4, 35).