# Party Planning

## Party Planning!!!

We get an 8th grade end of the year party for all our hard work, but we need to solve for what company is cheaper. We needed food and a bounce house and these were my calculations.

## Describe how you created the equations.

It gave you the y-intercept in the flyer and since i knew the equation y=mx+b, i just plugged in the numbers making the equation

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

I think there could be, but you would have a very ugly number. You would have to solve 10x+20=9.25x+61.25 to find the number of students that cost the same amount.

## If you only have a budget of \$1000 for food, how many people, maximum? Can you have a decimal or fraction as part of your answer? Why or why not?

You would have have 98 students for burger bonanza and a 101 students for pizza palace. You cannot have part of a person so no you cant have a decimal or fraction.

## Proposing Plan

If i had 50 students or less i would choose Burger Bonanza, But i think i will choose pizza palace if i had more students.

## Describe how you created each equation.

The flyer for Jumpin' Jacks had a set up fee, the y-intercept. Meaning you would have to plug in the numbers in Y=Mx+B. For Hoppin Around, they're isn't a set up fee meaning you can plug in the numbers into Y=Kx.

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

Their is actually a number of hours where they equal the same. In 4 hours it would be \$300 for both companies. You can solve it by 75x+50=54x+84.

## If you only have a budget of \$750 for the bounce house, how many hours, maximum? Can you have a decimal or fraction as part of your answer? Why or why not?

If you got Jumpin Jacks, you would be able to have it for 10 hours, But if you got Hoppin around you would be able to have it for 12 hours. You cannot have a decimal or a fraction because you cant have part of a person.

## Proposed plan!

I would probably get Hoppin Around, because it is the cheapest even with the set up fee.