Jason is buying food for a party. One package of chicken wings costs $6.50, and Hot Dogs costs $4.00 per pound. He must spend less that $80.00. He also knows from previous requests that he must buy at least 5 pounds of hot dogs, and at least 3 packages of chicken wings. Write and graph the system of inequalities that represents this scenario.
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
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You need to do this in Linear Algebra rather than Algebra? Or just posted in the wrong place?
let x be the number of packages of chicken wings and y the number of pounds of hotdogs.
since the price of chicken wings is 6.5 $ then the total price of chicken wings bought is x.6.5$. in a similar manner the total price of hotdogs bought is y.4 $. But the total price of all things bought should be less than 80 $ so:
\[6.5x + 4y < 80\]
\[x \ge 3\] at least 3 pakcages of chicken wings
\[y \ge 5\] at least 5 pounds of hotdogs
the area ABC will be the result, it is the area common between the three inequalities