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 need to check if there is a constant ratio between the pounds of bananas and the cost.
To do this, we can compare the ratios of pounds of bananas to cost:
For 2 pounds of bananas, the cost is $2.50.
So, the ratio of pounds of bananas to cost is 2/2.50 = 0.8/1.
For 3 pounds of bananas, the cost is $3.75.
So, the ratio of pounds of bananas to cost is 3/3.75 = 0.8/1.
For 5 pounds of bananas, the cost is $6.25.
So, the ratio of pounds of bananas to cost is 5/6.25 = 0.8/1.
For 7 pounds of bananas, the cost is $8.75.
So, the ratio of pounds of bananas to cost is 7/8.75 = 0.8/1.
Since the ratios of pounds of bananas to cost are all equal to 0.8/1, 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 pounds of bananas to their corresponding costs are constant.
Let's calculate the ratios for each row in the table:
For the first row: 2 pounds of bananas / $2.50 = 0.8
For the second row: 3 pounds of bananas / $3.75 = 0.8
For the third row: 5 pounds of bananas / $6.25 = 0.8
For the fourth row: 7 pounds of bananas / $8.75 = 0.8
Since the ratios are all equal to 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 are in a proportional relationship, we need to check if the ratio between the pounds of bananas and the cost remains constant.
Let's calculate the ratio between the pounds of bananas and the cost for each row in the table:
For the first row, the ratio is 2 pounds of bananas / $2.50 = 0.8.
For the second row, the ratio is 3 pounds of bananas / $3.75 ≈ 0.8.
For the third row, the ratio is 5 pounds of bananas / $6.25 = 0.8.
For the fourth row, the ratio is 7 pounds of bananas / $8.75 ≈ 0.8.
Since the ratio is approximately the same (0.8) for all the rows, we can conclude that the quantities in the data table have a proportional relationship.
Therefore, the answer is 1. The quantities in the data table are in a proportional relationship.