# Planning a Party Project

## 1. Describe how you created each question.

I got each equation by looking at the poster, (Burger Bonanza) finding out that it cost \$10 per person, and a \$20 dollar catering fee. The total cost is y, so I got y = 10x + 20. For Pizza Palace, the flyer says that it costs \$9.25 with a \$61.25 setup fee. The total cost equals c, so I got c = 9.25p + 61.25.

## 2. Will there ever be a number of students where both companies will cost the same?

There will not be a number of students where both companies cost the same because on the tables, there is not a possible way to get the total cost to the same value.

## 3. 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?

Burger Bonanza: 1000 = 10(98) + 20

There would be 98 people max.

Pizza Palace: 991.25 = 9.25(105) + 61.25

There would be 105 people max.

No, you can’t have a decimal or fraction as a part of your answer because you cannot have a fraction/decimal of a person.

## 1. Describe how you came up with each equation.

I created each graph by looking at the flyers. For Hoppin’ Around, the flyer said it was \$75 an hour, with no charging fee, so the equation is y = 75x. For Jumpin’ Jacks, the flyer said it was \$54 an hour, with a fee of \$84, so the equation is c = 54h + 84.

## 2. Will there ever be a number of hours where both companies will cost the same?

Yes. According to the tables provided, the number of hours you would need is 4. For 4 hours at Jumpin' Jack's, it cost \$300. For 4 hours at Hoppin' Around, it is also \$300.

## 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’ Jacks: 732 = 54(12) + 84

The total number of hours would be 12.

Hoppin’ Around: 750 = 75(10)

The total number of hours would be 10.

You could have a decimal or fraction as a part of your answer because an hour could be divided into 2 or more parts.

## Proposed Plan

My plan for food is to use Pizza Palace because it you could have more people (105) for less than 1000 (991.25) dollars than Burger Bonanza, which can only have 98 people for 1000 dollars. For the bounce house company, I decided on Jumpin’ Jacks because you could have the bounce house for 12 hours at the cost of \$732, while at Hoppin’ Around you pay \$750 for 10 hours.