Question

A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An item priced at $150 has a fee of $9. Use ratios to prove the restocking fee is based on a proportional relationship. Explain your answer.

Answer 1

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

Explanation:

For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.

Now we find out if the ratios 12/200 and 9/150 are equal.

12/200 = 3/50

9/150 = 3/50

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.