Question

Adam will use x black stone tiles and y gray stone tiles to cover his patio floor. Select all inequalities that model this situation.

A) x >= 0; y >= 0
B) 5x + 4y <= 150
C) y < 1/2x
D) y <= 1/2x

Answer 1

The inequalities that model the situation are: A) x >= 0; y >= 0 B) 5x + 4y <= 150 D) y <= 1/2x

Step-by-step explanation:

The inequalities that model the situation are:

A) x >= 0; y >= 0

B) 5x + 4y <= 150

D) y <= 1/2x

Option A represents the fact that the number of black stone tiles (x) and gray stone tiles (y) cannot be negative, so they must be greater than or equal to zero. Option B represents a constraint on the total area covered by the tiles, stating that the total area (5x + 4y) should not exceed 150 units. Option D states that the number of gray stone tiles (y) should be less than or equal to half of the number of black stone tiles (x).