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1. Please turn in your HOMEWORK to the box. 2. Please pick up your WEEKEND SKILL BUILDER. 3. Complete the LAST section of your SKILL BUILDER. 4. Please keep your SYSTEMS out to check.
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y = mx + b Write an equation in the form y = mx + b to represent the relationship shown in the table. x y + 32 + 4 y = 8x + 3 y = 8(10) + 3 y = 83
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EXAMPLE: Zach has $50,000 in his bank account. Every month he spends $3,500. He does not add money to the account. a. Write a linear model that shows how much money will be in the account after x months. b. How much money will Zach have in his account after 10 months? #EX: a.) Equation: ________________ b.) _________________ xy 0 2 4 c.) Complete the table using your equation. d.) Graph the equation using m and b or ordered pairs.
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EXAMPLE: Zach has $50,000 in his bank account. Every month he spends $3,500. He does not add money to the account. a. Write a linear model that shows how much money will be in the account after x months. b. How much money will Zach have in his account after 10 months? #EX: a.) Equation: ________________ b.) _________________ xy 0 2 4 c.) Complete the table using your equation. d.) Graph the equation using m and b or ordered pairs.
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1. Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account. a. Write a linear model that shows how much money will be in the account after x months. b. How much money will Conner have in his account after 8 months? #1: a.) Equation: ________________ b.) _________________
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2. Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. a. Write a linear model that represents the height of the plant after x days. b. What will the height of the plant be after 20 days? #2: a.) Equation: ________________ b.) _________________
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3. Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month. a. Write a linear model that represents Mr. Thompson’s weight after x months. b. After how many months will Mr. Thompson reach his goal weight of 220 pounds? #3: a.) Equation: ________________ b.) _________________
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4. Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional deposits. a. Write a linear model that represents the total amount of money Paul deposits into his account after x months. b. After how many months will Paul have more than $2,000? #4: a.) Equation: ________________ b.) _________________
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5. A cell phone plan costs $30 per month for unlimited calling plus $0.15 per text message. a. Write a linear model that represents the monthly cost of this cell phone plan if the user sends x text messages. b. If you send 200 text messages, how much would you pay according to this cell phone plan? #5: a.) Equation: ________________ b.) _________________
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6. A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. a. Write a linear model that shows the salesperson’s total income based on total sales of x dollars. b. If the salesperson sells $250,000 worth of merchandise, what is her total income for the year, including her base salary? #6: a.) Equation: ________________ b.) _________________
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#1: a.) Equation: ________________ b.) _________________ xy 0 2 4 c.) Complete the table using your equation. d.) Graph the equation using m and b or ordered pairs. #2: a.) Equation: ________________ b.) _________________ xy 0 5 10 c.) Complete the table using your equation. d.) Graph the equation using m and b or ordered pairs. #3: a.) Equation: ________________ b.) _________________ xy 0 2 6 c.) Complete the table using your equation. d.) Graph the equation using m and b or ordered pairs. #4: a.) Equation: ________________ b.) _________________ xy 0 5 10 c.) Complete the table using your equation. d.) Graph the equation using m and b or ordered pairs. Name: _________________________________________ Date: __________ Period: _______ Writing Equations of Lines
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#5: a.) Equation: ________________ b.) _________________ xy 0 50 100 c.) Complete the table using your equation. d.) Graph the equation using m and b or ordered pairs. #6: a.) Equation: ________________ b.) _________________ xy 0 50,000 100,000 c.) Complete the table using your equation. d.) Graph the equation using m and b or ordered pairs. CONCLUSION QUESTION: The graph shows the activity in a savings account. a.) What was the amount of the initial deposit that started this savings account? _____________________ b.) Make a table of values from the graph. c.) Find the slope and y- intercept of the graphed line. _____________________ Months in plan 2 4 6 Amount Saved ($) 2000 4000 months$ 0 2 4 6 d.) Write an equation in slope-intercept form for the activity in this savings account. e.) Explain the meaning of the slope in this graph.
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