Answer:
a) [tex]x+12y\leq 60[/tex]
b) Subtract x from both sides:
[tex]12y=60-x[/tex]
Divide each side by 12 and then simplify:
[tex]y=\frac{60-x}{12} = \frac{60}{12} - \frac{x}{12}=5-\frac{x}{12}[/tex]
c)
[tex]6+12(4) = 54[/tex], true
[tex]8+12(5) = 68[/tex], false
d) The point (6,4) represents 6 songs and 4 albums, which in total costs $54. This makes the inequality true since [tex]54 \leq 60[/tex].
e) Yes, I would shade the point -3,4 since it test true in the inequality (this doesn't make sense since you can't buy -3 songs, but this is just an arbitrary point).
