#17 Assigned 1/9/17 Due 1/13/17 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.

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#17 Assigned 1/9/17 Due 1/13/17 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 and why you set the problem up the way you did. Make sure to include what the slope and the y-intercept represent? **You MUST write in complete sentences.**

#18 Assigned 1/17/17 Due 1/20/17 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: Solve the system by (you must do all three) a.) Define the variables a.) Graphing b.) Substitution c.) Elimination Commentary: Explain why your method works best for this problem? **You MUST answer in complete sentences.**

#19 Assigned 1/23/17 Due 1/27/17 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: How you solved the problem (The Math) Commentary: Explain to the students what you did to solve the problem. Also include why this is the correct process for this problem.

#20 Assigned: 1/30/17 Due: 2/3/17 Marvelous Marilyn scored 273 points last season for her high school basketball team. Her points resulted from a combination of two-point shots and three-point shots. She made a total of 119 shots. Clam: How many of each type of shot did Marilyn make? Data: Solve Algebraic and Graphical. Commentary: Explain how you solve the problem. Describe the advantages and disadvantages of the graphical and algebraic methods.

#21 Assigned: 2/6/17 Due: 2/10/17 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.

#22 Assigned: 2/21/17 Due: 2/24/17 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 part 1. Claim2 What is the area, in square units, of the triangle? Commentary: Explain what you did to get both your claims.

#23 Assigned: 2/21/17 Due: 2/24/17 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: You must show all your work. Commentary: Explain what you did to find your claim. Do you think the answer you found is the only one possible? Explain why or why not.

#24 Assigned: 2/27/17 Due: 3/3/17 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? 4. What is the area of the square? 5. What is the area of the shaded region? Data: Show and organize your work. Commentary: Explain what you did to answer each question?