Question

Kali is selling two different kinds of soup - tomato soup and clam chowder. She has a total of 80 bowls, so she can sell no more than 80 bowls of soup. Each tomato soup sells for $5 and each clam chowder sells for $10. In order to reach her goal, Kali must make at least $500.

If the solution region represents the number of bowls of soup Kali needs to sell in order to reach her goal, which graph's shaded area represents the solution region?

Answer 1

You are looking for the shaded region that would be contained in both of the inequalities.

You have:
$x+y \leq 80$$5x+10y\ \textgreater \ 500$

If you graph an shade the correct half-plane for those equations, you will see there is a triangular region on the left side of the first quadrant.