# Planning A Party!!!!

### By: Branden Vasquez, Gavin Hallock

## Food

Two companies have worked with us in the past to provide food for students whenever we have a party day. Recently, however, the companies have come under new management. This means that their prices may have changed a bit since the last time we used them. I managed to get some flyers from them regarding their rates for large orders of food, but I haven’t had a chance to check them out. Take a look at these flyers, and see what you make of them.

- C. Jones

## Critical Thinking Questions

Describe how you created each equation. We took the number of students (X) and added $20 for the setup fee, and got T, the total cost. We took the cost of each students (X), and added $61.25 for the setup fee, and got T, the total cost.

Will there ever be a number of students where both companies will cost the same? Describe the steps you would use and then solve for the number of students for which both companies will cost the same amount. No, there will never be a number of students where both companies will cost the same.

If you only have a budget of $1000 for food, how many people, maximum, would you be able to have at the 7th Grade Blowout for each company? Can you have a decimal or fraction as part of your answer? Why or why not? For Burger Bonanza 98 people max can attend the blowout, for Pizza Palace the maximum people that can attend is around 101 people. There cannot be a decimal or a fraction in your equation because a decimal means that it’s not a full number which means that there won’t be a full person.

**Proposed Plan: I say we go with Pizza Palace because it’s the better buy with 101 people attending the blowout.**

## Critical Thinking Questions

Describe how you created each equation. For Jumpin’ Jack’s I multiplied 54 by the number of hour, and then added an extra $114 for the #30 security deposit and the $84 setup fee, for Hoppin’ Around I would divide 250 by however many hours there were that were under 4 hours, and when there was over 4 hours I would multiply 50 by that number and add $250 for the original 4 hours.

2. Will there ever be a number of hours where both companies will cost the same? Describe the steps you would use and then solve for the number of hours for which both companies will cost the same amount? No, there will never be a number of hours where both companies will cost the same.

3. If you only have a budget of $750 for the bounce house, how many hours, maximum, would you be able to have at the 7th Grade Blowout for each company? Can you have a decimal or fraction as part of your answer? Why or why not? Jumpin’ Jack’s would be able to have a maximum of 12 hours for $714, for Hoppin’ Around the maximum hours they can use is 10 hours that would cost $750. Yes, you can have a decimal or fraction in your answer because when your answer is part of minutes or hours the decimal number will be either a minute or second.

**Proposed Plan: I propose that we go with Jumpin’ Jack’s because it’s the better buy because we can have an extra 2 hours and it would be $36 under the maximum budget.**