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.
The quantities in the table have a proportional relationship. 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 remains constant.
First, let's calculate the ratios for each row:
For 2 pounds of bananas: 2.5 / 2 = 1.25
For 3 pounds of bananas: 3.75 / 3 = 1.25
For 5 pounds of bananas: 6.25 / 5 = 1.25
For 7 pounds of bananas: 8.75 / 7 = 1.25
As we can see, the ratio of pounds of bananas to cost is the same for each row, and it is equal to 1.25. Since the ratio remains constant, we can conclude that the quantities in the data table are in a proportional relationship.
Therefore, the answer is 1.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio between the pounds of bananas and the cost ($$) is constant.
Let's calculate the ratios for each pair of quantities:
- For 2 pounds of bananas to a cost of $2.50, the ratio is 2.50/2 = 1.25.
- For 3 pounds of bananas to a cost of $3.75, the ratio is 3.75/3 = 1.25.
- For 5 pounds of bananas to a cost of $6.25, the ratio is 6.25/5 = 1.25.
- For 7 pounds of bananas to a cost of $8.75, the ratio is 8.75/7 = 1.25.
Since the ratios are all equal to 1.25, which is a constant value, we can conclude that the quantities in the data table are in a proportional relationship.
Therefore, the answer is 1.