Question

Buying Flowers Suppose you want to buy bouquets of flowers for a party. An equation that represents the cost, y, in dollars, for x bouquets is y=21x. Decide if this equation represents a proportional relationship. Explain your answer.

Does the equation y=21x represent a proportional relationship?

Answer 1

Yes, the equation y=21x represents a proportional relationship. In a proportional relationship, the ratio between the two variables remains constant.

Step-by-step explanation:

Yes, the equation y=21x represents a proportional relationship.

In a proportional relationship, the ratio between the two variables remains constant. In this case, the ratio between the cost (y) and the number of bouquets (x) is always 21:1. This means that for every additional bouquet, the cost increases by a constant amount of 21 dollars.

For example, if you want to buy 3 bouquets, the cost would be 21 * 3 = 63 dollars. And if you want to buy 5 bouquets, the cost would be 21 * 5 = 105 dollars. The increase in cost is always proportional to the increase in the number of bouquets.