Question
Use the table to answer the question.
Cost of Bananas Based on Weight in Pounds
Pounds of Bananas Cost ($)
2 2.50
3 3.75
5 6.25
7 8.75
Determine if the quantities in the data table are in a proportional relationship. If the quantities have a proportional relationship, answer 1. If the quantities do not have a proportional relationship, answer 2.
Cost of Bananas Based on Weight in Pounds
Pounds of Bananas Cost ($)
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.
Answers
GPT-4o mini
To determine if the quantities have a proportional relationship, we need to check if the ratio of the cost to the weight of the bananas remains constant.
Let's find the cost per pound for each entry:
1. For 2 pounds: \( \frac{2.50}{2} = 1.25 \) dollars per pound
2. For 3 pounds: \( \frac{3.75}{3} = 1.25 \) dollars per pound
3. For 5 pounds: \( \frac{6.25}{5} = 1.25 \) dollars per pound
4. For 7 pounds: \( \frac{8.75}{7} \approx 1.25 \) dollars per pound
Since the cost per pound is the same (1.25) for all the different weights, the quantities have a proportional relationship.
Therefore, the answer is **1**.
Let's find the cost per pound for each entry:
1. For 2 pounds: \( \frac{2.50}{2} = 1.25 \) dollars per pound
2. For 3 pounds: \( \frac{3.75}{3} = 1.25 \) dollars per pound
3. For 5 pounds: \( \frac{6.25}{5} = 1.25 \) dollars per pound
4. For 7 pounds: \( \frac{8.75}{7} \approx 1.25 \) dollars per pound
Since the cost per pound is the same (1.25) for all the different weights, the quantities have a proportional relationship.
Therefore, the answer is **1**.