7th Grade Party

By: Emily Mosty

Grab Some Grub

Burger Bonanza equation- y=10x+20

Pizza Palace equation- y=9.25+61.25

Point Of Intersection

The point of intersection is 55 and it will cost $570 for both companies.

Purposed Plan

Pizza Palace is where we should cater food because it is cheaper. The reason it is cheaper because we are having more than 55 people and in 7th grade there are more than 55 people so we would be saving around $100. Bellow is a table showing the prices for each person counting by 50's.

Table for Burger Bonanza

X-number of people

Y-total cost

X-Y

0-0

50-523.75

100-986.25

150-1448.75

200-1911.25

250-2373.75

Table For Pizza Palace

X-number of people

Y-total cost

0-0

50-520

100-1020

150-1520

200-2020

250-2520

Questions

1) I created the equations by first seeing the cost of the food then multiplying it by how much of it or the X. Then i saw if there was any other additional cost or fee s and added them to the cost and its X.


2)Yes there is a point of intersection between the two companies where they both cost the same. The steps i used are first see how much one cost then started counting up by ones from 50 and saw where they intersected.


3) The max number of people that could come with $1000 would be 98 people for burger bonanza and 101 people for pizza palace. It is not possible for there to be a decimal of students because you can not cut a student in decimals or fractions.

Bounce House

Hoping' Around equation- Y=75x

Jumpin' Jack's equation- Y=54x+84

Point Of Intersection

The point of intersection is 4 hours and it will cost $300 for both companies.

Purposed Plan

Jumpin' Jack's is the better deal if you are paying for 5 hours or more but if you are paying for 4 hours or less Hoppin' Around.

Table For Hoppin' Around

X-number of hours

Y-total cost

0-0

1-75

2-150

3-225

4-300

5-375

6-450

7-525

8-600

9-675

10-750

Table For Jumpin' Around

X-number of hours

Y-total cost

0-84

1-138

2-192

3-246

4-300

5-354

6-408

7-462

8-516

9-570

10-624

Questions

1) I created the equations by first seeing the cost of the food then multiplying it by how much of it or the X. Then i saw if there was any other additional cost or fee s and added them to the cost and its X.


2) Yes there is a point of intersection when both companies have it costing the same. Once i did my table of 1-10 hours i saw that for 4 hours they both costed $300 so i had found my point of intersection.


3) For Hoppin' Around it would be 10 hours and Jumping' Jacks it would be 12 hours if you had $750 to spend. It is also possible for you to cut it in half.