Use the table to answer the question.

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)
(
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Remaining Attemp

Answer 1

To find the constant of proportionality between the number of people and the number of buses, we can use the values from the table.

The table states the following:

• 1 bus can fit 35 people
• 2 buses can fit 70 people
• 3 buses can fit 105 people
• 4 buses can fit 140 people

From these data points, we can see that the ratio of people to buses is consistent. Specifically, we can calculate the constant of proportionality using one of the given values.

For example, using the data for 4 buses:

Number of People = 140
Number of Buses = 4

Now we calculate the ratio:

\[ \text{Constant of Proportionality} = \frac{\text{Number of People}}{\text{Number of Buses}} = \frac{140}{4} = 35 \]

Thus, the ratio in the data table that shows the constant of proportionality can be represented as the ordered pair for the 4 buses:

(4, 140)

So the answer is:

(4, 140)