1. Please turn in your BETTER DEAL page to the box. 2 1. Please turn in your BETTER DEAL page to the box. 2. Have your HOMEWORK out to be stamped. 3. Please be working on the graphing section of your SKILL BUILDER.

y = 20x + 10 y = 20(15) + 10 y = 310 + 4 ∆𝒚 ∆𝒙 = 𝟑𝟐 𝟒 𝒚=𝟖𝒙+𝟑 + 32 Name: ________________________________ Date: ______________________ Period: ____   Weekly Homework 8th 2 - 2 Show all of your work to get credit. MONDAY 1. Ace Car Rentals charges $20 per day plus a $10 service charge to rent one of its compact cars. Write an equation in the form of y = mx + b, where the slope represents , the cost per day and find the cost of renting a car for 15 days. 2. Write an equation to represent the relationship shown in the table. y = 20x + 10 y = 20(15) + 10 y = 310 + 4 ∆𝒚 ∆𝒙 = 𝟑𝟐 𝟒 𝒚=𝟖𝒙+𝟑 + 32 ∆𝒚 ∆𝒙 =𝟖

4(0) +2 2 4(1) +2 6 4(2) +2 10 4(3) +2 14

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

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

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.) _________________

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