Question

Harmony can spend up to $100 on a shopping trip. She needs to buy socks and shoes. Each pair of socks costs $5.00 and each pair of shoes costs $20.00. Which graph shows all of the ways she can purchase shoes and socks, spending up to $100?

Answer 1

20y+5x≤100 divide all terms by 5

4y+x≤20 subtract x from both sides

4y≤-x+20 divide both side by 4

y≤-0.25x+5

So just in simplest terms, the slope is slightly negative and it should be shaded under the line since y is less than the line...so it is the second graph.