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.
To determine if the quantities in the data table are in a proportional relationship, we can check if the ratio of the two columns remains constant.
Let's calculate the ratios for each row:
For the first row:
2.50 / 2 = 1.25
For the second row:
3.75 / 3 = 1.25
For the third row:
6.25 / 5 = 1.25
For the fourth row:
8.75 / 7 = 1.25
Since the ratio in each row is the same (1.25), 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 ratios of the pounds of bananas to the cost are constant.
Let's calculate the ratios for each row:
For 2 pounds of bananas, the cost is $2.50. The ratio is 2.5/2 = 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.
Since the ratios for each row are equal to 1.25, they are constant. 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 are in a proportional relationship, we need to compare the ratios of pounds of bananas to the cost for each pair of values.
Let's calculate the ratios for each pair:
- For the first pair (2 pounds of bananas and $2.50), the ratio is 2.50/2 = 1.25.
- For the second pair (3 pounds of bananas and $3.75), the ratio is 3.75/3 = 1.25.
- For the third pair (5 pounds of bananas and $6.25), the ratio is 6.25/5 = 1.25.
- For the fourth pair (7 pounds of bananas and $8.75), the ratio is 8.75/7 = 1.25.
As we can see, all the ratios are equal to 1.25. Therefore, the quantities in the data table have a proportional relationship.
The answer is 1.