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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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