# Unit 10 Project

### By: Rapha

## FOOD

## Equation

The Equation for Burger Bonanza was y=10x+20

The Equation for Pizza Palace was y=9.25x+61.25

## Crtitical Thinking

1. Describe how you created each equation.

I created the equation into y=mx+b format

one equation was y=10x+20 and the other one was y=9.25x+61.25

b= the** one time fee** which was 61.25 and 20

m= how much it **cost per student**

x=the number of students

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.

Yes there would be a number of students where both company cost the same. I found the point of intersection by putting the 2 equations side by side and you solve for x.

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?

For Pizza Palace the number of people at the maximum would be 100 and for Burger Bonanza the maximum people would be 50, you can not have a fraction or decimal because you cannot have a decimal or fraction of a person.

## Proposed Plan

## Activity

## Equations

The equation for Jumpin' Jack's was y=54x+84

The equation for Hoppin' Around was y=75x

## Critical Thinking Points

1. Descibe how you created each equation

I used the y=mx+b formula

M=75 because that how much it **cost per hour**

X= the number of hour's

and the had no one-time fee

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.

Yes there would be were number of hour’s would cost the same.

Basicly the steps are that you put the equations side by side 75x=54x+84 and you solve for x

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?

For each company you the maximum of 10 hour’s with $750. Yes you can have a decimal or fraction as part of your answer because you can have partial of an hour