Question

Which situation represents a proportional relationship?

A) The cost of purchasing sour patch kids candy for $7.00 per pound with a coupon for $1.00 off the total.
B) The cost of purchasing gummy bears for $6.99 per bag plus a delivery charge of $5.00.
C) The cost of purchasing chocolate covered cherries for $6.25 per pound plus a shipping fee of $2.00 per pound.
D) The cost of purchasing a basket of chocolate snowmen for $2.50 per pound plus $12.00 for the basket.

Answer 1

The situation that represents a proportional relationship is A) The cost of purchasing sour patch kids candy for $7.00 per pound with a coupon for $1.00 off the total. The cost of purchasing sour patch kids candy is directly proportional to the weight in pounds.

Step-by-step explanation:

A proportional relationship is one in which the ratio between two quantities is constant.

Out of the given options, the situation that represents a proportional relationship is A) The cost of purchasing sour patch kids candy for $7.00 per pound with a coupon for $1.00 off the total. In this situation, the cost of purchasing sour patch kids candy is directly proportional to the weight in pounds. For example, if you purchase 2 pounds of candy, it will cost $14.00 without the coupon and $13.00 with the coupon, maintaining the same ratio.

Therefore, option A) represents a proportional relationship.