Use the table to answer the question.

Question

Pounds of Bananas Cost ($)
2 2.50
3 3.75
5 6.25
7 8.75
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.

Answer 1

To determine if the quantities in the data table form a proportional relationship, we need to check if the ratio of the cost to the pounds of bananas is constant for all entries.

We can calculate the ratio (cost per pound) for each entry:

1. For 2 pounds: \[ \text{Ratio} = \frac{2.50}{2} = 1.25 \]

2. For 3 pounds: \[ \text{Ratio} = \frac{3.75}{3} = 1.25 \]

3. For 5 pounds: \[ \text{Ratio} = \frac{6.25}{5} = 1.25 \]

4. For 7 pounds: \[ \text{Ratio} = \frac{8.75}{7} \approx 1.25 \]

Since the ratio is the same (1.25) for all entries, the quantities are in a proportional relationship.

Therefore, the answer is 1.