Planning a Party Project
By: Abhi M.
Food for the Party
Which Company?
Burger Bonanza: y = 10x + 20
Pizza Palace: y = 9.25x + 61.25
Here is a graph that I used to compare the prices.
X and Y Axis
Y-Axis = Cost ($)
Tables
Critical Thinking Questions
Question 1 - Burger Bonanza/Pizza Palace
A) - I used the information on the graph to create the equation and the information on the flyers.
Question 2 - Burger Bonanza/Pizza Palace
A) - Yes, this is called the point of intersection. First you set up the 2 equations together for both company's. Then you have to get the x on one side so you subtract 9.25x on both sides and then that equals .75x and all the other numbers stay the same. Then you have to subtract 20 on both sides to delete it. That then equals 41.25. After that you divide the .75 on both sides and then you get the x in the coordinate point. The work is below.
Question 2 Continued
Question 3 - Burger Bonanza/Pizza Palace
A)
Burger Bonanza - 98 students
Pizza Palace - 101 students
A decimal and fraction cannot be a part of an answer because you may be able to have sections in money but not in students. You cannot split a student in half for an answer. So the answer is no.
Question 1, 2 & 3
Proposed Plan
Entertainment/Activity for the Party
Jumpin ' Jack's: y = 54x + 84
Hoppin' Around: y = 75x
Here is a graph I used to compare both companies
Tables
X/left side = number of hours
Y/right side = cost ($)
Critical Thinking Questions
Question 1 - Hoppin' Around/Jumpin' Jack's
A) I used the poster and table to calculate it
Question 2 - Hoppin' Around/Jumpin' Jack's
A) Yes, it is called the point of intersection. First to find it you have to equal the equations together. Than you have to solve for y. Now you have get the x's on one side. So then you have to subtract 54x on both side to equal it to make: 21x = 84. Finally you have to divide 21 on both sides and the x is by itself. 84/21 is 4. 4 is the x for the coordinate point of intersection.
Question 2 Continued
Question 3 - Hoppin' Around/Jumpin' Jack's
A)
Hoppin' Around: 10 hours
Jumpin' Jack's: 12 hours
Yes you can have a decimal or a fraction for an answer. This is possible because the x-axis is hours and the y-axis in money. For example, you can 4.6384 of an hour and in money but you cant have it in student's or food and stuff like that. The money and the hours can be divided multiple timesand it would still be reasonable.
Work:
Final Proposed Plan
Food:
Both company's are good until one point. I think that Pizza Palace would be more necessary because it is cheaper with more people. Burger Bonanza is good until there is 55 student's. Beyond that it would be Pizza Palace. Like it there were 150 people it would cost $1448.75 for Pizza Palace but for Burger Bonanza it costs $1520. Pizza Palace would be more reasonable because there is probably more than about 200 student's in 7th grade. Let alone that most of them will be coming.
Entertainment:
For the bouncy house, the company's I chose are probably the cheapest I could find. Hoppin' Around is cheaper when there is less hours, while Jumpin' Jack's would be better for more hours.They both cost the same ($300) if you rent for 4 hours. Beyond that like 4 and a half it would be cheaper for Jumpin' Jack's because it would cost around $325 and Hoppin' Around would cost around $345. Overall I think it we would rent it for at least 4 hours and it would cost $300. If the student's spend more time or less we can figure that out later, maybe ask the 7th graders for their option on how many hours.
Therefore, I think this party will be a success and the 7th graders will love it. Hope it goes well!