Question

Alfred is picking up chicken and steak to grill at a party

later that day. He has $60 to spend on the 30 pounds of
meat he needs for the party. The chicken is $1.50 per lb,
and the steak is $2.40 per lb.
Which graph models this situation, where cis pounds of
chicken, and s is pounds of steak?

Answer 1

The graph should look like the one below.

Explanation:

C is lbs of chicken

S is pounds of steak

Alfred spent 30 pounds of meat for the party:

c + s
`\leq` 30

Alfred spend $60 on the 30 lbs of meat.

The chicken is $1.50 per pound and the steak is $2.40 per lb then

1.5c + 2.50
`\leq` 60

0.5c + 0.85
`\leq` 20

The linear inequalities system that models situation is:

0.5c + 0.85
`\leq` 20

c + s
`\leq` 30

c
`\geq` 0

s
`\geq` 0

The Graph: