Journal #19 Assigned 1/6/15 Due 1/9/15

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. 1.) Write an equation for your weekly earnings after taxes, benefits, and lunch expenses. 2.) In this situation, what do the slope and the y-intercept represent?3.) How many hours must you work to earn $120 after taxes, benefits, and lunch expenses?

Journal #20 Assigned 1/12/15 Due 1/16/16For 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? 1.) Define the variables.2.) Solve the system by (you must do all three)

a.) Graphingb.) Substitutionc.) Elimination

3.) Out of the 3 ways to solve this system, which way do feel is best and why?

Journal #21 Assigned 1/20/15 Due 1/23/15Two 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. a.) Write a system of inequalities. Then draw a graph that shows all of the possible dimensions of the dance floor. b.) Write two possible solutions to the problem that would be appropriate dimensions for a dance floor. Compare your solutions and determine which would offer more dancing space. Explain your reasoning.

Journal #22 Assigned: 1/26/15 Due: 1/30/15Marvelous Marilyn scored 273 points last season for her high school basketball team. Her pointsresulted from a combination of two-point shots andthree-point shots. She made a total of 119 shots.How many of each type of shot did Marilyn make?• Define your variables.• Set up your system of equations.• Solve the system graphically.• Solve the system algebraically. • Answer the question.• Describe the advantages and disadvantages of the graphical and algebraic methods.

Journal #23 Assigned: 2/2/15 Due: 2/6/15A triangle is enclosed by the following lines:

x – y = -1 y = 2

-0.4x – y = -5.21. What are the coordinates of the vertices

of the triangle? Use algebraic methods to justify your answer.

2. (a.) Draw the triangle using your answers in part 1.

(b.) What is the area, in square units, of the triangle?

Journal #24 Assigned: 2/9/15 Due: 2/13/15John puts $1000 in a safe in his home, and

puts in an additional $50 per year. Adam puts $1000 in an investment that earns 5% per year.

1.) Why is one exponential and the other linear? Write a function rule for both John and Adam.

2.) How would their graphs compare? You may want to graph them first.

3.) How would their values compare over time? In 10 years who would have saved the most money?

Journal #25 Assigned: 2/17/15 Due: 2/20/14

Healthy Animals Curtis is concerned about the diet he is feeding his pet. A

nutritionist has recommended that the pet’s diet include at least 30 grams of protein and at least 16 grams of fat per day.

Curtis has two types of foods available – Food A and Food B. Each ounce of Food A supplies 2 grams of protein and 4 grams of fat, while each ounce of Food B supplies 6 grams of protein and 2 grams of fat. Curtis’s pet should not eat a total of more than 12 ounces of food per day.

Curtis would like to vary the diet for his pet within these requirements, and so he needs to know what his options are.

1. Choose variables to represent the amount of each type of food Curtis will include in the daily diet. State clearly what the variables represent.

2. Use your variables to write inequalities to describe the constraints of the problem.

3. Choose one of your constraints. Draw a graph that shows which combinations of Food A and Food B satisfy that constraint. Be sure to label your axes and show their scales.

Journal #26 Assigned: 2/23/15 Due: 2/27/15

Going Out for LunchImagine! 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 $32.10.Your Task:Assume that the $32.10 is the exact amount needed for your purchase. 1. Figure out, in any way you can, how many hot dogs and how many hamburgers were ordered. You must show all your work and explain what you did to figure out the problem. 2. Do you think the answer you found is the only one possible? Explain why or why not.

Journal #27 Assigned: 3/2/15 Due: 3/6/15

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?

Answer the following questions about the two shapes. Explain in sentence form how you got your answer.