Question

25 a student is ordering a flower arrangement. she can choose any combination of roses and carnations for her flower arrangement, and she does not want to spend more than $30. if roses cost $3 each and carnations cost $2 each, which inequality represents all possible combinations of x roses and y carnations? a 3x + 2y < 30 b 3x + 2y ≤ 30 c 2x + 3y > 30 d 2x + 3y ≤ 30

Explanation:

Step1: Calculate cost of roses

The cost of $x$ roses, at $3$ dollars each, is $3x$ dollars.

Step2: Calculate cost of carnations

The cost of $y$ carnations, at $2$ dollars each, is $2y$ dollars.

Step3: Set up inequality

She doesn't want to spend more than $30$ dollars, so the total cost $3x + 2y$ must be less than or equal to $30$. The inequality is $3x+2y\leq30$.

Answer:

B. $3x + 2y\leq30$