Proportional Relationships in Tables Practice

Complete this assessment to review what you’ve learned. It will not count toward your grade.
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 busses 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.

(1 point)

To find the constant of proportionality in this data table, we need to determine the ratio of the number of people to the number of buses.

Looking at the table, we can see that as the number of buses increases, the number of people also increases in a consistent pattern.

To find the ratio, we can divide the number of people by the number of buses. Let's calculate the ratios for each row in the table:

For the first row, the ratio would be 0/0, which is undefined.

For the second row, the ratio would be 35/1, which is 35.

For the third row, the ratio would be 70/2, which is 35.

For the fourth row, the ratio would be 105/3, which is 35.

For the fifth row, the ratio would be 140/4, which is also 35.

Therefore, the constant of proportionality appears at the ratio (35, 1), because the ratio is consistent throughout the data table.