Question

Use the table to answer the 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.

(1 point)
$$
Remaining Attempts : 3
Skip to navigation

Answer 1

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

Let's calculate the ratio \( \frac{\text{Cost}}{\text{Pounds}} \) for each entry:

1. For 2 pounds at $2.50:
\( \frac{2.50}{2} = 1.25 \)

2. For 3 pounds at $3.75:
\( \frac{3.75}{3} = 1.25 \)

3. For 5 pounds at $6.25:
\( \frac{6.25}{5} = 1.25 \)

4. For 7 pounds at $8.75:
\( \frac{8.75}{7} = 1.25 \)

Since the ratio \( \frac{\text{Cost}}{\text{Pounds}} \) is the same (1.25) for all entries, the quantities in the data table are in a proportional relationship.

So the answer is **1**.