# Third Six Weeks Assignment

### By Allison Poskey

-For food I think that we should use Stacked!, because overall this company has lower priced food for the amounts of people. In my tables I went from a small amount of people to a large amount, and Stacked! still had the least priced food.

- For music I think we should use Classic spin at our party because they had the lowest price, and they had no limitations on how long we could have them at our party.

## Critical Thinking Questions

Critical Thinking Questions

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

To solve the equations in the table I first multiplied the amount of price for one hour by the amount of hours and then I added the one-time fee to get the total price.

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.

There is a point when stacked! and Pizza Palace cost both \$1,002, but Burger Bonanza costs \$1,000. The steps I used to figure this out was to use the equation, and I first multiplied the amount of price for one hour by the amount of hours and then I added the one-time fee to get the total price.

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

The steps I followed in question two compare to the order of operations because you have to follow the order of operations to correctly solve the problem, if you decided to randomly solve the equation you would be most likely to get a mess of the problem, and not solve it right.

4. 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?

If you had a budget of \$1,000 dollars, to stay in budget Burger Bonanza was the only one. Pizza Palace and Stacked! both had the same amount of \$1,002 at max. You can have a decimal or fraction but there wasn’t one in this case because I was using whole numbers to start with.

## Critical Thinking Questions

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

To solve each row in the table, I multiplied price of music for one hour by how many hours they would be there to get the total price. For Classic Spin there was one extra step, after I multiplied the price of music for one hour by how many hours they would be there, I then added the one-time fee of \$75.

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 they are the same amount, they will be the same at \$1,000 dollars. To solve this, for Spin City, I just kept adding \$125 to get to \$1,000 dollars where I noticed they would be the same amount. For Classic Spin I noticed for five hours it was \$500 and so I just multiplied that by two to get 10 hours and \$1,000.

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

The steps compare to the order of operations because you have to follow the order of operations, you can’t just go in any order you want because you are not very likely to solve the questions right.

4. 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?

For a Classic Spin you would be able to afford 10 hours, and you would be at the max of your budget, and for Spin City you would be able to afford 8 hours at max budget. You can have a decimal, but in this case there is not any.