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 need to check if the ratios of the quantities and their corresponding costs are constant.
The ratio of 2 pounds of bananas to its cost is 2.50/2 = 1.25.
The ratio of 3 pounds of bananas to its cost is 3.75/3 = 1.25.
The ratio of 5 pounds of bananas to its cost is 6.25/5 = 1.25.
The ratio of 7 pounds of bananas to its cost is 8.75/7 = 1.25.
Since the ratio of the quantities and their corresponding costs is constant (1.25), 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 their cost remains constant.
Let's calculate the ratio for each row in the table:
2 pounds of bananas / $2.50 = 0.8
3 pounds of bananas / $3.75 ≈ 0.8
5 pounds of bananas / $6.25 = 0.8
7 pounds of bananas / $8.75 ≈ 0.8
As the ratio between the pounds of bananas and their cost is the same for each row (0.8), we can conclude that the quantities in the data table have a proportional relationship.
Therefore, 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 remains constant.
Let's examine the ratios for each set of values:
For the first set (2 pounds for $2.50):
The ratio of pounds of bananas to the cost is 2/2.50 = 0.8
For the second set (3 pounds for $3.75):
The ratio of pounds of bananas to the cost is 3/3.75 = 0.8
For the third set (5 pounds for $6.25):
The ratio of pounds of bananas to the cost is 5/6.25 = 0.8
For the fourth set (7 pounds for $8.75):
The ratio of pounds of bananas to the cost is 7/8.75 = 0.8
As we can see, the ratios for all the sets are equal to 0.8. This means that the quantities in the data table have a proportional relationship since the ratio remains constant.
Therefore, the answer is 1. The quantities in the data table are in a proportional relationship.