Pounds of Bananas: Cost ($)

Question

2 2.50
3 3.75
5 6.25
7 8.75

Determine if the quantities in the data table are in 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 are in a proportional relationship, we can check if the ratios of the quantities and the ratios of the costs are equal.

For example, the ratio of 2 pounds of bananas to its cost is 2.50 / 2 = 1.25.

Following the same logic, we can calculate the ratios for the other quantities:
3 pounds of bananas to its cost: 3.75 / 3 = 1.25
5 pounds of bananas to its cost: 6.25 / 5 = 1.25
7 pounds of bananas to its cost: 8.75 / 7 = 1.25

Since all the ratios of the quantities are equal to 1.25, we can conclude that the quantities in the data table are in a proportional relationship.

Therefore, the answer is 1. The quantities in the data table are in a proportional relationship.