Question

Dwight is selling flowers and candles for a school fundraiser. Flowers, x, sell for $7 for a bouquet, and candles, y, sell for $5. each. If he wants to sell at least $200 worth of flowers and candles, which inequality represents the situation where he sells x flowers and y candles?

A: 7x + 5y 200
C: 7x + 5y ≤ 200
D: 7x + 5y ≥ 200

Please explain why the right answer choice is correct. Thanks.

Answer 1

D: 7x + 5y ≥ 200

Explanation:

If flowers sell for $7 and candles sell for $5, we can write those as 7x and 5y. Now, our inequality is 7x + 5y __. The words "at least" can translate to greater than or equal to. The symbol for that is ≥. Now, he wants to sell at least $200 worth of goods. That means we can write our inequality as 7x + 5y ≥ 200.

Answer 2

Since he wants to sell AT LEAST 200, the number he is selling must be greater than or equal too the number of flowers and candles. Therefore you would need the greater than and equal sign, with the open end being towards the 7x + 5y.
The Answer is D