## What Is Happening

This is a Big Celebration for all the 7th graders hard work and effort throughout the year. The food is going to be pizza from pizza palace, and the entertainment is going to be bounce houses from Hoppin' Around. We are going to have a blast.

## Grab some Grub

In order to find what food we were going to get we first created a equation. We started the equation by choosing variables to represent the independent and dependent variable. We used the form Y=MX+B and turned the given information into the equation.
In order to find out if there will ever be a number of students where both companies will cost the same we started by making both of the equations equivalent to each other. Once the equations were simplified by subtracting and dividing like terms I found that the cost will be the same when there is 55 people , making the cost \$570.00 for each company
For burger bonanza you could have a maximum of 98 people for 1,000 dollars. For Pizza Palace you could have a maximum of 101 people for 1,000 dollars. You cannot have a decimal or fraction as part as your answer because you can only have a whole person.

## Bounce Houses

I created the equation by choosing variables to represent the independent and dependent variables. The form that I used for Hoppin' Around was Y=MX. The form that I used for Jumpin' Jacks was Y=MX+B. I plugged in the information that was given to form the equation.
You will combine like terms in order to see when they will cost the same you will combine like terms. The equation was 75a=54k+85. After we subtracted on each side and made the equation simplified we found out that around 4 is when they would cost the same. They would end up costing about 303 at 4.
For the company Hoppin' Around you could have a maximum of 10 hours. For the company Jumpin' Jacks you could have a maximum of 12.13 hours. You can have a decimal or fraction because time can be broken up.
Overall we are going to choose Pizza Palace for our food because it is more affordable for its price. We also chose Hoppin' Around because it allows us to have more room in our budget for other things.

## Overall Plan

The proposed plan is to choose Pizza Palace as our choice of food for this event. Our entertainment/attraction is going to be Hoppin' Around Bounce Houses. The reason that we chose Pizza Palace as our food is because it will be the most affordable choice compared to Burger Bonanza. The reason that we chose Hoppin' Around for our attraction opposed to Jumpin' Jacks is because it is the more affordable situation. We hope that everyone has a ton of fun as well. :)