## yasmin12380 2 years ago 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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1. e.mccormick

You need to do this in Linear Algebra rather than Algebra? Or just posted in the wrong place?

2. physicspassion

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

3. physicspassion

|dw:1370981326433:dw| the area ABC will be the result, it is the area common between the three inequalities

4. physicspassion

i hope this helps u :) good luck

5. yasmin12380

I was just graphing the inequalities and it looked weird. After looking at your post, I realized I made a mistake with the two shorter ones. Thanks a lot!

6. physicspassion

ur most welcome :)