# Planning A Party

## Planning The 7th Grade End of The Year Party

The principal is letting have a end of the year party. It must have food and a bounce house. There are some choices though and the principal wants to have the best price. For the food, the choices are Pizza Palace and Burger Bonanza. Pizza Palace is \$9.25 per person plus a \$61.25 fee for set-up and take down. Burger Bonanza is \$10 per person plus a \$20 catering fee. The bounce house companies are Hoppin Around and Jumpin Jacks. Hoppin Around is \$75 per hour. Jumpin Jacks is \$54 plus a \$84 set-up and take down fee. 7th grade has to choose which one is the better buy for food and the bounce houses.

## Questions

I created Burger Bonanza's and Pizza Palace equation by reading how much it cost per person and I looked to see if there was y-intercept. For Burger Bonanza's, cost \$10 per person so that's my rate of change. There was a \$20 fee so that was the y-intercept.

The point of intersection is (55, 570). I found this out by making the equations equal to each other. I subtracted 9.25x from 10x and got .75x. Then I subtracted 20 from 61.25 and got 41.25. I divided 41.25 by .75 and got 55. I checked my answer by filling in 55 with the equations.

For Burger Bonanza, 98 kids would be able to come to the party. With Pizza Palace 101 kids would be able to come. You would not be able to have decimal or fraction as one of your answers because you can't have a fraction of a person. Even though its money you still can't have half a person come and eat the food.

## Questions

I created Hoppin Around and Jumpin Jacks equation by reading how much it cost per person and I looked to see if there was y-intercept. For Hoppin Around, it cost \$75 per hour so that was the rate of change. There was no y-intercept for Hoppin Around.

The point of intersection is (4,300). I got this by making the equations equal to each other. I subtracted 54x from 75x and got 21x. Then I divided 84 by 21 and got 4. I checked my answer by filling 4 into the equations.

For Hoppin Around, we could have the bounce house for 10 hrs. We could have the bounce for 12 hours if we had Jumpin Jacks. There could be a decimal or fraction for my answer because, instead of having people, its time and money. You can split up time and money without leaving any behind.

## In Summary

In summary, there really is no "better buy". For food, if you have more than 570 people than Pizza Palace is less money. If you have less than 570 people than Burger Bonanza is less money. For the bounce houses, if you had it for more than 4 hours than Jumpin Jacks is less money. If you wanted the bounce house for less than 4 hours than Hoppin Around is less money. So this is up to the principal now!