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 the cost is constant.

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

1. For 2 pounds: Cost = $2.50 → Cost per pound = 2.50 / 2 = $1.25
2. For 3 pounds: Cost = $3.75 → Cost per pound = 3.75 / 3 = $1.25
3. For 5 pounds: Cost = $6.25 → Cost per pound = 6.25 / 5 = $1.25
4. For 7 pounds: Cost = $8.75 → Cost per pound = 8.75 / 7 = $1.25

Since the cost per pound is constant at $1.25 for all the quantities, the quantities in the data table are in a proportional relationship.

Therefore, the answer is **1**.