# Winter Holiday Party

### By: Ariana Santana

## Part A - Grab Some Grub (Critical Thinking Questions)

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

I created an equation based on the information given. Then I used the independent and dependent variables to solve the equation and get the total cost.

**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. **

Yes, at some point the pizza and burger place will cost you the same. For example, 5 students would cost you $90 for both companies, 10 students would cost you $130 for both companies, and 15 students would cost you $170 for both companies.

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

The steps I followed in question 2 compare to the order of operations because the order of operations tells you to multiply before adding.

**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 I only had a budget of $1000 for food, I would be able to bring a maximum of 98 students, which would cost $1,000.00, at the Burger place. I would be able to bring 107 students, which would cost $993, at the sandwich place. I would be able to bring 118 students, which would cost $994, at the pizza place.

## Part C - Turn Up The Bass (Critical Thinking Questions)

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

I created an equation based on the information given. Then I used the independent and dependent variables to solve the equation.

**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, there will never be a number of hours where both companies would cost the same.

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

The order of operations requires for you to use PEMDAS. In this case, I multiplied first and then added to solve the equation for the dependent variable.

**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?**

If I only had a budget of $1,000 for a DJ or music company, I would be able to afford 8 hours of Spin City and 10 hours of Classic Spin. Yes, you can have a decimal or fraction as part of your answer because 10.8 hours of Classic Spin would cost a total of $993.