Proportional Relationships in Tables Practice

Question

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Question
Use the table to answer the question.

Number of Adults 1 2 3 5 10 100
Cost of Tickets ($) 75 150 225 375 750 7,500
Determine if the quantities in the data table are in a proportional relationship. If the quantities have a proportional relationship, answer 1. If the quantities do not have a proportional relationship, answer 2.

(1 point)
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Remaining Attempts : 3
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Answer 1

To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio of the cost of tickets to the number of adults is constant for all entries in the table.

The data provided in the table is as follows:

| Number of Adults | Cost of Tickets ($) | |------------------|---------------------| | 1 | 75 | | 2 | 150 | | 3 | 225 | | 5 | 375 | | 10 | 750 | | 100 | 7,500 |

Now, let's calculate the ratios of cost to the number of adults for each entry:

1. For 1 adult: \( \frac{75}{1} = 75 \)
2. For 2 adults: \( \frac{150}{2} = 75 \)
3. For 3 adults: \( \frac{225}{3} = 75 \)
4. For 5 adults: \( \frac{375}{5} = 75 \)
5. For 10 adults: \( \frac{750}{10} = 75 \)
6. For 100 adults: \( \frac{7500}{100} = 75 \)

Since the ratio of cost to the number of adults is constant (75) for all entries, we can conclude that the quantities in the table are in a proportional relationship.

Thus, the answer is 1 (the quantities are in a proportional relationship).