Pounds of Bananas%09Cost ($)%0D%0A2%092.50%0D%0A3%093.75%0D%0A5%096.25%0D%0A7%098.75%0D%0ADetermine 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 ratio of the cost to pounds of bananas remains constant.
First, let's calculate the ratio for each pair of values:
For 2 pounds of bananas with a cost of $2.50, the ratio is 2.50/2 = 1.25.
For 3 pounds of bananas with a cost of $3.75, the ratio is 3.75/3 = 1.25.
For 5 pounds of bananas with a cost of $6.25, the ratio is 6.25/5 = 1.25.
For 7 pounds of bananas with a cost of $8.75, the ratio is 8.75/7 = 1.25.
As we can see, the ratios for all pairs of values are the same (1.25), indicating a constant ratio. Therefore, the quantities in the data table are in a proportional relationship.
Thus, the answer is 1.
To determine if the quantities in the data table are in a proportional relationship, we can check if the ratio of pounds of bananas to the cost remains the same for all the given quantities.
Let's calculate the ratio for each pair of quantities:
Ratio for (2, 2.50):
Pounds of bananas = 2
Cost = $2.50
Ratio = 2.50/2 = 1.25
Ratio for (3, 3.75):
Pounds of bananas = 3
Cost = $3.75
Ratio = 3.75/3 = 1.25
Ratio for (5, 6.25):
Pounds of bananas = 5
Cost = $6.25
Ratio = 6.25/5 = 1.25
Ratio for (7, 8.75):
Pounds of bananas = 7
Cost = $8.75
Ratio = 8.75/7 = 1.25
As we can see, the ratio of pounds of bananas to the cost is the same (1.25) for all the given quantities. Therefore, the quantities in the data table have a proportional relationship.
Answer: 1
To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the quantities are constant.
In this case, the quantities are pounds of bananas and their respective costs. Let's calculate the ratios for each pair of quantities:
For 2 pounds of bananas, the cost is $2.50.
Ratio = Cost / Pounds of bananas = $2.50 / 2 = $1.25
For 3 pounds of bananas, the cost is $3.75.
Ratio = Cost / Pounds of bananas = $3.75 / 3 = $1.25
For 5 pounds of bananas, the cost is $6.25.
Ratio = Cost / Pounds of bananas = $6.25 / 5 = $1.25
For 7 pounds of bananas, the cost is $8.75.
Ratio = Cost / Pounds of bananas = $8.75 / 7 = $1.25
Since the ratios Cost / Pounds of bananas are all equal to $1.25, we can conclude that the quantities in the data table are in a proportional relationship.
Therefore, the answer is 1.