# Mr. Jones's 7th grade Party

### By: Madison Sly

## Burger Bonanza or Pizza Palace?

Pink line = Burger Bonanza

Blue line = Pizza Palace

## Part A – Grab some Grub Critical Thinking Questions

**1. **Describe how you created each equation.

I created each equation by reading the flyers carefully, try to find the constant rate of change (m) and the y-intercept (b) in the problem situation.

** **

**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.

**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 Burger Bonanza, you would be able to have 98 people at the party maximum. While for Pizza Palace, you would be able to have 101 people at the party maximum. Since in this problem it’s talking about people, you cannot have a fraction or decimal as your answer because you can’t have a fraction of a person at the party.

** Proposed Plan**: I believe that you should choose to buy pizzas from Pizza Palace for the 7th grade party. Even though it does have an additional fee for 61.25, the cost for around 250 people is less at Pizza Palace than it is Burger Bonanza, and I think there’s going to be a lot of kids at the 7th grade party. It would be smarter to buy from Burger Bonanza when only buying 0-50 meals, but since there will probably be a lot more kids than 50, Pizza Palace seems like the better deal to me.

Red line = Jumpin’ Jack’s

Purple line = Hoppin’ Around

## Part B – Bounce house Critical Thinking Questions

**1.** Describe how you created each equation.

I created each equation by finding the information on the flyers to know the constant rate of change and the y-intercept for the equation that I’m making in the table. AKA if it said “$75 per hour” that would mean that the constant rate of change (or m) would be 75.

**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 will be a number of hours where both companies will cost the same, which is at 4 hours (they will both cost $300). I found out this because whenever I plugged in my independent variables with my equation, $300 at 4 hours was already on the table so I didn’t have to solve it myself.

**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 Jumpin’ Jack’s, you would be able to rent from the company for 12.3 hours. If you rent from Hoppin’ Around, you would be able to rent from the company for 10 hours. The reason why I made it a decimal was because since you can divide hours into fractions/decimals, and it was already in a decimal, I wrote it like it was.

** Proposed Plan: **I think that you should rent from the company Hoppin’ Around for the 7th grade party. Even though it cost more for 10 hours than Jumpin’ Jack’s, logically the party shouldn’t last that long so going with Hoppin’ Around would be the better choice. If you go with Hoppin’ Around, it would cost less to rent for 0-4 hours, which would be a reasonable amount of time for a party.