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,

1 answer

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

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

  1. For 2 pounds: \( \frac{2.50}{2} = 1.25 \)
  2. For 3 pounds: \( \frac{3.75}{3} = 1.25 \)
  3. For 5 pounds: \( \frac{6.25}{5} = 1.25 \)
  4. For 7 pounds: \( \frac{8.75}{7} \approx 1.25 \)

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

Therefore, the answer is 1.