# Planning A Party

## Equations for Food

The equations that you would use for the food category would be Y=10x+20 (Burger Bonanza) and Y+9.25x+61.25 (Pizza Palace)

## Graphs for Food

These are the two graphs that represent the food category. On the left it is Burger Bonanza and on the right is is the Pizza Palace.

## Tables for Food

These are the tables that represent each equation and graph. On the left is Burger Bonanza and on the right it is Pizza Palace.

## Critical Thinking Questions for Food

1) Describe how you created each equation.

I created each equation by looking at the flyers and determining the slope and the y intercept (if there was one), and filling in that information into the Y=mx+b equation.

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 will be a number where the companies cost the same. The steps you would take to find the point of intersection is you would put the two equations together and solve for X. You would then plug in X to any equation and solve for Y. Then you would get X and Y and put them in coordinate form. Now you have the point of intersection. The point of intersection is (55,570).

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 the Burger Bonanza company you would be able to buy a maximum of more than 50 burgers but less the 82 burgers. My answer cannot be in part with a decimal or fraction because the company cannot sell you ¼ of a burger or 0.5 of a burger.

## Proposed Plan for Food

Proposed Plan: I believe that Mr. Jones should use Burger Bonanza to a maximum of 50 burgers but if he wanted to get more that 50 of the specific food he should just move to pizza palace because anything higher than 50 on burger Bonanza is a higher price than anything higher on Pizza Palace.

## Equations for Bounce House

The equations you would use for the bounce house activity category would be y=54x+0 (Jumpin' Jacks) and y=75x+84 (Hoppin' Around).

## Graphs for Bounce House

These are the two graphs that represent the bounce house category. On the left is Jumpin' Jacks and on the right is Hoppin' Around

## Tables for Bounce House

These are the two tables that represent the equation and graph. On the left is Jumpin' Jacks and on the right it is Hoppin' Around.

## Critical Thinking Questions for Bounce Houses

1) Describe how you created each equation.

I created each equation by looking at the flyers and determining the slope and the y intercept (if there was one), and filling in that information into the Y=mx+b equation.

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 where the companies cost the same. The steps you would take to find the point of intersection is you would put the two equations together and solve for X. You would then plug in X to any equation and solve for Y. Then you would get X and Y and put them in coordinate form. Now you have the point of intersection. The point of intersection is (-4,-216).

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 seventh Grade Blowout for each company? Can you have a decimal or fraction as part of your answer? Why or why not?

If you had a budget of only \$750 you would have a maximum hours of over 10 for Jumpin' Jacks and a maximum of 8 for Hoppin' Around. These answers that I chose also could be a fraction or a decimal because it is referring to hours. You can have 2 1/2 hours and 1.5 hours.

## Proposed Plan for Bounce Houses

Proposed Plan: I believe that Mr.Jones should just simply use Jumpin' Jacks company for the bounce house activity because it is cheaper than Hoppin' Around.