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
(Please stick to the answers on that are given )
2
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 cost ($2.50, $3.75, $6.25, $8.75) are equal.
Let's check the ratios:
2 pounds of bananas / $2.50 = 0.8 pounds of bananas per dollar
3 pounds of bananas / $3.75 = 0.8 pounds of bananas per dollar
5 pounds of bananas / $6.25 = 0.8 pounds of bananas per dollar
7 pounds of bananas / $8.75 = 0.8 pounds of bananas per dollar
Since the ratios are all equal to 0.8 pounds of bananas per dollar, we can conclude that the quantities in the data table are in a proportional relationship.
Therefore, the answer is 1.
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios of pounds of bananas to cost ($), for example, pounds of bananas 3 to cost 3.75 can be simplified to the same ratio as the other values in the table.
Let's calculate and compare the ratios for each pair of values in the table:
For 2 pounds of bananas to cost $2.50, the ratio is 2/2.50 = 0.8
For 3 pounds of bananas to cost $3.75, the ratio is 3/3.75 = 0.8
For 5 pounds of bananas to cost $6.25, the ratio is 5/6.25 = 0.8
For 7 pounds of bananas to cost $8.75, the ratio is 7/8.75 = 0.8
Since all the ratios are equal to 0.8, which is the same value, the quantities in the data table are in a proportional relationship. Therefore, the answer is 1.