# 7th Grade Year End Party

## Who

There is around 250 amount of students in 7th grade here at Tidwell. This entire planning will take place predicting that they will all be here on this day.

### Tuesday, June 14th 2016 at 1:30pm

#### Roanoke, TX

Last Day of school the 7th graders will have a wild time.

## Food

In the past we have worked with two food places Burger Bonanza and Pizza Palace I have graphed/ Labeled their new prices and given an idea on what we should do.

## Grab Some Grub Q&A

1. Describe how you created each equation.

By looking at the flyers I knew that Burger Bonanza had a starting fee of \$20 and charged \$10 per person. So I then just put that into an equation of Y=10x+20. For Pizza palace I did the same thing knowing that they had a starting fee of \$61.25 and \$9.25 per person. So the equation turned out to be Y=9.25x+61.25.

2. 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.

I calculated and both companies will cost the same IF we had only 47 7th graders but we don’t. But say we did they would cost the same with 47 students (Point of Intersection)

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?

Well for Burger Bonanza you could invite 98 people. For Pizza Palace when calculated the answer was inconclusive because humans can’t be decimals So the answer rounded to was 101 people. That is the most you can Invite with \$1000

Proposed Plan: Seeing as how we have more than 47 7th graders attending Tidwell we should be catered by Pizza Palace.

## Bounce House

In the past we have worked with two Bounce House places Hoppin Around and Jumpin Jacks I have graphed/ Labeled their new prices and given an idea on what we should do.

## Bounce House Q&A

1. Describe how you created each equation. For Jumpin Jacks I knew that there was no starting fee and that every hour with the bounce house would be \$75. So my equation turned out to be Y=75x. For Hoppin Around I knew they had a set-up fee of \$84 and charged \$54 for every hour the bounce house was up. So my equation turned out to be Y=54x+8.

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. I calculated four. If we used the bounce house for four hours at any company their price would be 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? Well for Jumpin Jacks 7th graders could have ten hours on the bounce house. For Hoppin Around you can’t have a decimal as your answer because it would be an infinite decimal so the most hours you can get is twelve.

Proposed Plan: Depending on how long the party is will be the company we choose if we go less than four hours we should go with Jumpin Jacks. How ever if the party is more than 4 hours we should stick to HoPPin Around.