# 7th grade party!

## The stuff we will have at the part is planned now!

For this party, we will be eating at Stacked! I have chosen this food company because it has the lowest prices for the highest amount of food bought. As in for 50 students, the cost would be 450\$, and for 100 students, 850\$. These prices are below the other prices including Burger Bonanza and Pizza Palace. The equation for this restaurant is 8X+50.For the music I have chosen Spin City for entertainment.These prices were below the prices for Classic spin.For 2 hours it is 125\$ and for 3 hours 187.5\$.This is the best choice.

## Questions

1. Describe the steps you used to solve each row of the table.

First I read the flyers and found out the rate of change for each company. Then I typed it in the box adding a X for the variable. Then I solved it by using the number of food objects instead of the X. That’s how I got the Answers.

1. 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.

For the food companies stacked! And pizza palace have the same cost for 50 food objects which is 450\$.It only stays that way for 50 food objects.

1. How do the steps you followed in Question 2 compare to the Order of Operations?

In order of operations the multiplication comes before addition. That’s exactly what was used in these tables.

1. 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? Can you have a decimal or fraction as part of your answer? Why or why not?

The most 7th graders that would be able to com are 75.If the prices for Burger bonanza weren’t so high there could be more 7th graders allowed to come.

## Questions

1. Describe the steps you used to solve each row of the table.

I first found out the rate of change by reading the flyers. Then inserted the data into the table. I plugged in the X for the variable, and used the number on the X column to solve for then I added the y-intercept.

1. 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.

NO thy would never be in the same number. This is so because the numbers are go by a certain number and end on a certain number. I made a chart and compared the two sides.

1. How do the steps you followed in Question 2 compare to the Order of Operations?

My steps that I took are similar to order of operations because in my equation I had to use multiplication before adding.

1. If you only have a budget of \$1000 for a DJ or music company, how many hours, maximum, would you be able to afford? Can you have a decimal or fraction as part of your answer? Why or why not?

In these music companies you would be able to purchase at most 7-8 hours of music time with a budget of 1000\$ You can not have a fraction or decimal for this problem because the companies don’t allow purchases of parts of an hour.