Party Planner

By: Noah Kahan

The Problem

Dear 7th grader,

I have decided that the 7th grade deserves a huge party at the end of the year to reward them for all of their hard work. However, rather than make all the decisions myself, I felt that it would be better for 7th graders to make the decisions on what types of things would make a great party. I have compiled a list of different activities that have worked well in the past, and have found some pricing for various companies that offer these activities.

Unfortunately, I haven’t gotten around to comparing any of these prices yet or calculating which one would be best. I’m not sure how long this party will last, so I would like to have a range of times to choose from. I am also not sure how many of our 7th grade students will be participating in this party, so I need pricing for various numbers of students. As I know you have studied patterns, equations and rates of change so far this year, I know you will be able to help plan a spectacular party. Let’s go over what your party should have:

  • Food

  • Bounce House

Those are the “must haves” for your party. If you feel like you should add anything else, feel free to do so. In addition to the above, you still have to convince me that your ideas are the best way to go for this party. So once you have finished making your informed decisions, you’re going to have to “WOW” me with your ideas. Try putting your ideas into some kind of eye catching presentation, like a Smore, a Prezi, or a website like Weebly. I have given this task to all the 7th graders, so your job is to convince me that you are the best candidate for the job. Good luck and have fun planning!!!

Sincerely,

Kim Barker

Principal of Tidwell Middle School


So now I am going to give them the best party ever!!!

Choosing my food

While I wish we could afford orange chicken, my choices are limited to "Burger Bonanza" and "Pizza Palace"

Burger Bonanza would be the option if we were feeding fifty kids, but we are feeding the entire 7th grade for their hard work so pizza place is the better option for 100-infinity kids.

Work

As you can see I have chosen pizza palace as the better choice for a larger amount of kids. I say this because the equation for Burger Bonanza would be:

Money= $10.00 x the number of people + $20.00 fee

and that seems like the better deal at the start until you get more than fifty children, and you'll see that the better choice is Pizza Palace with an equation of

Money= $9.25 x the number of people + $61.25

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The Plan

Because we are feeding a large amount of seventh graders Pizza palace would be a better option than Burger Bonanza. If the seventh grade was made up of fifty students then Burger Bonanza would be the better choice with a cost of $520.00. Then you see that after another fifty burgers and pizzas that pizza is the less expensive option by almost $72. Making pizza Palace the better option for a larger audience.

Time to Fly

Now that the food has been picked out it's time to seal the deal with a bounce house. My choices are Hoppin' around and Jumpin' Jack's. I believe that the company, Jumpin' Jack's would be he best company to order from.

Work

When you look at the equations for these two you see that the equation for the company Hoppin' Around is:

Money(y) = $75.00 x the amount of hors(x).

While the equation for the company Jumpin' Jack's is:

Money(y) = $54.00 x the amount of hours(x) + $84.00.

At first this would make the company Hoppin' Around sound like a better deal, but then when you do the math the cost for it scales way over the cost for the company, Jumpin' Jacks.starting by about $42.00 less.

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Le Plan

My plan is that if we were going to through the party for an hour then Hoppin' Around would be a better idea because it only costs $75.00. Then you see that the price becomes worse about an hour later by $42.00. There for making the company, Jumpin' Jack's, a better deal.