Question

Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red bricks cost $0.58 each. She can spend up to $200 on her project, and wants the number of red bricks to be less than half the number of gray bricks.
Select all inequalities that model this situation.




0.45x+0.58y≤200

0.45x+0.58y<200

x≥0

x>0

0
0

Answer 1

It is given in the question that

Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red bricks cost $0.58 each. She can spend up to $200 on her project, and wants the number of red bricks to be less than half the number of gray bricks.

Maximum she can spend is $200. That is

$0.45x + 0.58y \leq 200 \\ y< \frac{1}{2} x$

And

$x\geq 0 , y \geq 0$

And that's the required inequalities .