The best 7th grade party

By: Connor Gill

My choices

I think we should use the company, Pizza Palace for food because it is the cheapest rate, you will get than the other three. For 25 people it would cost $155 for pizza, for Burgers $270 and for Sandwiches $255. It is the best deal to get and also who doesn't like Pizza.

I think we should use the company Classic Spin for Music because you can have 1 or more hours. You have a set up fee but you have a lower dollar per hour than Spin city and comparing the two for 10 hours it would cost $1,250 for Spin city and for Classic Spin it would only cost you $925 with set up fee.

Questions for the food

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

I used the calculator to help by multiplying the number of people by the amount of money a person and then adding the y intercept

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.

No because the amount of money a person is different and the y intercept is different through the places

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

They are the same because it goes parenthesis then exponents and then multiplying, division and addition then subtraction

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?

You would have a faction because you cannot split people and half and you would have at least 98 people at the burger place for pizza you would have about 198 people and for the sandwich place 119 people.

Questions for Music

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

I used the calculator to multiply the numbers of an hour by the cost per hour plus the one time fee.

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.

No, because the costs are different and one has a y intercept and the other do not.

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

It follows the rule and it multiplies before adding.

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 Spin City you would have 10 hours of DJs for Classic Spin you would have 10 and ¾ hours.