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) .

Answer 1

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

Let's calculate the cost per pound for each entry:

1. For 2 pounds at $2.50:
\[
\text{Cost per pound} = \frac{2.50}{2} = 1.25
\]

2. For 3 pounds at $3.75:
\[
\text{Cost per pound} = \frac{3.75}{3} = 1.25
\]

3. For 5 pounds at $6.25:
\[
\text{Cost per pound} = \frac{6.25}{5} = 1.25
\]

4. For 7 pounds at $8.75:
\[
\text{Cost per pound} = \frac{8.75}{7} \approx 1.25
\]

Since the cost per pound is the same (1.25) for all quantities, the quantities in the data table are in a proportional relationship.

Therefore, the answer is **1**.