Proportional Relationships in Tables Practice

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Question
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.

(1 point)

1 answer

To determine if the quantities in the table represent a proportional relationship, we need to check if the ratio of pounds of bananas to cost ($) is constant.

Let's examine the ratios:

  • For 2 pounds:
    Cost = $2.50
    Ratio = 2.50 / 2 = 1.25

  • For 3 pounds:
    Cost = $3.75
    Ratio = 3.75 / 3 = 1.25

  • For 5 pounds:
    Cost = $6.25
    Ratio = 6.25 / 5 = 1.25

  • For 7 pounds:
    Cost = $8.75
    Ratio = 8.75 / 7 = 1.25

Since all ratios are equal to 1.25, the quantities in the table are in a proportional relationship.

The answer is 1 (the quantities have a proportional relationship).