#16 Assigned 1/8/18 Due 1/12/18 Suppose you earn $8.50/h at a bakery. From your first paycheck you determine that $2.15/h is withheld for taxes and benefits. You work x hours during a five-day week and you spend $3.75 each day for lunch. Claim: How many hours must you work to earn $120 after taxes, benefits, and lunch expenses? Data: Write & Solve an equation for your weekly earnings after taxes, benefits, and lunch expenses. Commentary: Explain how the problem was set up and why it was set up that way. Make sure to include what the slope and the y-intercept represent? **You MUST write in complete sentences.**

#17 Assigned 1/16/18 Due 1/19/18 For the fundraiser, Will sold 225 candy bars. He earns $1 for each almond candy bar he sells and $0.75 for each caramel candy bar he sells. If he earned a total of $187.50, how many of each type of candy bar did he sell for the fundraiser? Claim: For this problem which method works best? Data: Write and solve the system by (you must do all three) Define the variables a.) Graphing b.) Substitution c.) Elimination Commentary: Explain why that method works best for this problem?

#18 Assigned 1/22/18 Due 1/26/18 Two students disagree about how to solve a problem and have asked you for help. They have 220 ft of ribbon to enclose a rectangular space in the gym for a dance floor. The dance floor has to be at least 70 ft long to accommodate the anticipated number of dancers. Claim: What would be the dimensions of the dance floor giving the most dance space? Data: Show work Commentary: Explain in detail to the students how to solve the problem. Also include why this is the correct process for this problem.

#19 Assigned: 1/29/18 Due: 2/2/18 Clam: Can the expression 49x2y2z2 be written using only one exponent? Data: Show how it works or doesn’t work Commentary: Explain why it is possible or why it is not possible.

#20 Assigned: 2/5/18 Due: 2/9/18 On February 6, 1895, Babe Ruth was born. Many people consider Babe Ruth to be the “Best Baseball Player Ever.” What is something that you hope people would someday remember you by as the “Best Ever"? Explain why? You must answer in complete sentence.(No claim/data)

#21 Assigned: 2/12/18 Due: 2/16/18 A triangle is enclosed by the following lines: x – y = -1 y = 2 -0.4x – y = -5.2 Claim1 What are the coordinates of the vertices of the triangle? Data: Use algebraic methods to justify your answer. Draw the triangle using your answers in claim 1. Claim2 What is the area, in square units, of the triangle? Commentary: Explain in detail how to work these problems.

#22 Assigned: 2/20/18 Due: 2/23/18 Going Out for Lunch Imagine! You have just started a full-time summer job in an office. It’s your first day on the job, and the boss has sent you out to buy lunch for the 23 people who work in the office. It turns out that everyone wants either one hot dog or one hamburger for lunch. You get to Enrico’s Express, and Enrico asks you how many hot dogs and how many hamburgers you want. You realize you were so excited that you forgot to write down how many of each you were supposed to get. But you see that hamburgers cost $1.50 each and hot dogs cost $1.10 each (tax included), and that you were given the $32.10. Assume that the $32.10 is the exact amount needed for your purchase. Claim: How many hot dogs and hamburgers are you to purchase? Data: Show all your work. Commentary: Explain in detail how the problem was solved. Is this the only possible answer? Explain why or why not.

#23 Assigned: 2/26/18 Due: 3/2/18 Claim: Answer the following questions about the two shapes. 1. What is the area of the figure to the right? 2. What is the perimeter of the figure? 3. What is the area of the circle? Leave in terms of π. 4. What is the area of the square? What is the area of the shaded region? Leave in terms of π. Put your answer in factor form. Data: Show and organize your work. Commentary: Explain in detail how to work each problem.