## Describe how you created each equation.

Each equation had the independent variable multiplied with the cost per person and added the one-time fee to get the dependent variable.

## Will there ever be a number of students where both companies will cost the same?

Yes, I completed the pizza palace price equation with 15 (7th Graders) and got \$200, and I completed the Burger Bonanza price equation with 18 (7th Graders) and got \$200.

## If you only have a budget of \$1000 for food, how many people 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?

You can’t have a decimal or fraction because you can’t split people into parts, and you would be able to feed 98 7th Graders with Burger Bonanza and 101 7th Graders with Pizza Palace.

## Proposed Plan

Burger Bonanza would be cheaper because there will probably be more than 18 7th graders attending.

## Describe how you created each equation.

I had the independent variable, the number of hours, multiplied by the cost per hour and added the one-time fee, if the company had one, to get the dependent variable.

## Will there ever be a number of hours where both companies will cost the same?

I can tell by looking at the graph and table that at 4 hours both companies will cost \$300.

## If you only have a budget of \$750 for the bounce house, how many hours 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?

Yes, you can have a decimal or faction because time is continuous. Hoppin’ Around costs \$750 at 10 hours and for \$750 you can jump for 12 1/3 hours.

## Proposed Plan

Depending on how long the party’s going to be, Jumpin’ Jack’s is more expensive until 4 hours, and then it becomes cheaper. Hoppin’ Around is cheaper for the first 4 hours, but anytime afterwards it costs more than Jumpin’ Jack’s.