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

0.45x + 0.58y ≤ 200

x > 0

0< y <
`(1)/(2)`x

Explanation:

(:

Answer 2

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< (1)/(2) x`

And

`x\geq 0 , y \geq 0`

And that's the required inequalities .