Question

A club president can spend no more than $180 on hats for the members. Visors cost $9 and caps cost $12. He will order at least a half-dozen caps and at least as many visors as caps. Let x represent the number of visors and y represent the number of caps. Select all constraints for this situation. Question 8 options: 9x+12y?180 y?x y?x x>6 y?6 y>6 x+y?180 x?6 x>0

Answer 1

9X+12y<=180

y>=6

y<

Explanation:

Answer 2

The constraints are

`9x+12y\leq 180`

`y\geq 6`

`y\geq x`

`x \geq 0`

Explanation:

Let

x------> the number of visors

y------> the number of caps

we know that

`9x+12y\leq 180` ----> inequality A

`y\geq 6` -----> inequality B

`y\geq x` ----> inequality C

`x \geq 0` -----> inequality D (the number of caps can not be negative)

using a graphing tool

The solution is the shaded area

see the attached figure