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 relation
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio of the pounds of bananas to the cost is constant.
2.50 / 2 = 1.25
3.75 / 3 = 1.25
6.25 / 5 = 1.25
8.75 / 7 = 1.25
As the ratio of the pounds of bananas to the cost is constant and equal to 1.25 in each case, the quantities in the data table are in a proportional relationship. Hence, the answer is 1.
To determine if the quantities in the data table have a proportional relationship, we need to check if the ratio of the pounds of bananas to the cost is the same for each data point.
Let's calculate the ratio for each data point:
- For 2 pounds of bananas, the cost is $2.50. The ratio is 2.50/2 = 1.25.
- For 3 pounds of bananas, the cost is $3.75. The ratio is 3.75/3 = 1.25.
- For 5 pounds of bananas, the cost is $6.25. The ratio is 6.25/5 = 1.25.
- For 7 pounds of bananas, the cost is $8.75. The ratio is 8.75/7 = 1.25.
As we can see, the ratio for each data point is the same, which is 1.25. Therefore, the quantities in the data table are in a proportional relationship. The answer is 1.
To determine if the quantities in the data table have a proportional relationship, we need to check if the ratio between the pounds of bananas and the cost remains constant.
First, let's calculate the ratio for each entry in the table:
For 2 pounds of bananas:
Ratio = Cost / Pounds of Bananas = 2.50 / 2 = 1.25
For 3 pounds of bananas:
Ratio = Cost / Pounds of Bananas = 3.75 / 3 = 1.25
For 5 pounds of bananas:
Ratio = Cost / Pounds of Bananas = 6.25 / 5 = 1.25
For 7 pounds of bananas:
Ratio = Cost / Pounds of Bananas = 8.75 / 7 = 1.25
As we can see, the ratio is always 1.25 for every entry in the table. This indicates that the quantities in the data table have a proportional relationship.
Therefore, the answer is 1.