Pounds of Bananas%09Cost ($)%0D%0A2%092.50%0D%0A3%093.75%0D%0A5%096.25%0D%0A7%098.75%0D%0ADetermine 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

Answer 1

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

First, let's calculate the ratio for each pair of values:

For 2 pounds of bananas with a cost of $2.50, the ratio is 2.50/2 = 1.25.
For 3 pounds of bananas with a cost of $3.75, the ratio is 3.75/3 = 1.25.
For 5 pounds of bananas with a cost of $6.25, the ratio is 6.25/5 = 1.25.
For 7 pounds of bananas with a cost of $8.75, the ratio is 8.75/7 = 1.25.

As we can see, the ratios for all pairs of values are the same (1.25), indicating a constant ratio. Therefore, the quantities in the data table are in a proportional relationship.

Thus, the answer is 1.