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 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 ratios of the quantities and the ratios of the costs are equal.
For example, the ratio of 2 pounds of bananas to its cost is 2.50 / 2 = 1.25.
Following the same logic, we can calculate the ratios for the other quantities:
3 pounds of bananas to its cost: 3.75 / 3 = 1.25
5 pounds of bananas to its cost: 6.25 / 5 = 1.25
7 pounds of bananas to its cost: 8.75 / 7 = 1.25
Since all the ratios of the quantities are equal to 1.25, we can conclude that the quantities in the data table are in a proportional relationship.
Therefore, the answer is 1. The quantities in the data table are in a proportional relationship.
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 the cost remains constant.
Let's calculate the ratios for each row:
For 2 pounds of bananas: ratio = 2 / 2.50 = 0.8
For 3 pounds of bananas: ratio = 3 / 3.75 = 0.8
For 5 pounds of bananas: ratio = 5 / 6.25 = 0.8
For 7 pounds of bananas: ratio = 7 / 8.75 = 0.8
As we can see, the ratios are all equal to 0.8, which means 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 have a proportional relationship, we need to check if the ratio of the quantities of bananas to their corresponding costs is constant.
Let's calculate the ratios for each pair of values:
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 of the quantities of bananas to their costs is the same for each pair of values, which is 1.25. Since the ratio is constant, we can conclude that the quantities in the data table have a proportional relationship. Therefore, the answer is 1.