Question

Which system of inequalities can be used to determine the number of glass vases, x, and the number of traumatic faces, white, that Ben could have bought?

A.2x+3y≥30
x+y≤15

B.3x+2y≤30
x+y≥15

C.2x+3y≤30
x+y≥15

D. 3x+2y≥30
x+y≤15

Answer 1

To determine the number of glass vases, x, and the number of traumatic faces, white, that Ben could have bought, we need to set up a system of inequalities. Option A is the correct system of inequalities.

Step-by-step explanation:

To determine the number of glass vases, x, and the number of traumatic faces, white, that Ben could have bought, we need to set up a system of inequalities. Let's analyze the given options:

A. 2x + 3y ≥ 30 represents the cost of buying 2x glass vases and 3y traumatic faces. The total cost needs to be greater than or equal to $30.

x + y ≤ 15 represents the maximum number of items Ben can buy (glass vases and traumatic faces) that should not exceed 15.

Option A represents the correct system of inequalities to determine the number of glass vases, x, and the number of traumatic faces, white, that Ben could have bought.