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.

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Objective - To graph linear equations using the slope and y-intercept.
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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.) _________________

2. Lin is tracking the progress of her plant’s growth 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.) _________________

3. Mr. Thompson is on a diet. He currently weighs 260 pounds 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.) _________________

4. Paul opens a savings account with $350. He saves $150 per month 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.) _________________

5. A cell phone plan costs $30 per month for unlimited calling plus $0 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.) _________________

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.) _________________

EXAMPLE: Zach has $50,000 in his bank account 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.) _________________ d.) Graph the equation using m and b or ordered pairs. c.) Complete the table using your equation. x y 2 4

Writing Equations of Lines Name: _________________________________________ Date: __________ Period: _______ #1: a.) Equation: ________________ b.) _________________ Writing Equations of Lines #3: a.) Equation: ________________ b.) _________________ d.) Graph the equation using m and b or ordered pairs. d.) Graph the equation using m and b or ordered pairs. c.) Complete the table using your equation. c.) Complete the table using your equation. x y 2 4 x y 2 6 #2: a.) Equation: ________________ b.) _________________ #4: a.) Equation: ________________ b.) _________________ d.) Graph the equation using m and b or ordered pairs. d.) Graph the equation using m and b or ordered pairs. c.) Complete the table using your equation. c.) Complete the table using your equation. x y 5 10 x y 5 10

x y x y CONCLUSION QUESTION: #5: a.) Equation: ________________ b.) _________________ 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. d.) Graph the equation using m and b or ordered pairs. c.) Complete the table using your equation. Months in plan 2 4 6 Amount Saved ($) 2000 4000 x y 50 100 months $ 2 4 6 #6: a.) Equation: ________________ b.) _________________ d.) Graph the equation using m and b or ordered pairs. c.) Complete the table using your equation. 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. x y 50,000 100,000