On the x-axis Josh labels the pounds of gouda he could buy, ranging from 0 to 1 pound. On the y-axis he labels the pounds of cheddar he could buy, also ranging from 0 to 1 pound.
Next, Josh draws a diagonal line starting at the point (0, 1), representing that he could buy 1 pound of cheddar and no gouda. This line would intersect with the x-axis at the point (0.625, 0). This means that Josh could buy 0.625 pounds of gouda and 0 pounds of cheddar for $15.
Josh then adds a horizontal line at the half pound mark on the x-axis, showing that he wants to buy at least half a pound of gouda. This line intersects with the y-axis at the point (0, 0.5), where Josh could buy 0 pounds of gouda and 0.5 pounds of cheddar for $15.
The area below the diagonal line and above the horizontal line represents all the possible combinations of gouda and cheddar that Josh could buy for less than $15. This area is shaded in to show the valid options for Josh.
Josh is making mac and cheese for a family party. He decides to use a mixture of gouda and cheddar, and he wants to use at least a half pound of gouda. Gouda costs $8 per pound and cheddar costs $5 per pound. He needs to spend less than $15 on cheese. Josh makes a graph to show how much gouda and cheddar he could get.
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