Math Grade 8

ACTIVITY 1: Graph the following Linear Functions using any method. You will be able to form a figure after graphing all of the functions in one graphing paper. f (x) = 2x46 y = - -1-6 2 h(x) =-2x+6 f(x) =1 1 =5X-6 What figure was formed by the graphs of the given Linear Functions? Illustrations:ACTIVITY 2: DX Direction: Answer the following problems. 1. A machine salesperson earns a base salary of P40,000 plus a commission of P300 for every machine he sells. Write an equation that shows the total amount of income the salesperson earns, if he sells x machines in a year. 2. At a school play, children's tickets cost P3 each and adult tickets cost P7 each. The total amount of money earned from ticket sales equals P210. Write a linear model that relates the number of children's tickets sold to the number of adult tickets sold. 3. 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 d days. b. What will the height of the plant be after 20 days? 4. 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 m months. b. After how many months will Mr. Thompson reach his goal weight of 220 pounds? 5. Paul opens a savings account with P350. He saves P150 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 m months. b. After how many months will Paul have more than P2,000?he population of Bay Village is 35,000 today. Every year the population of Bay Village creases by 750 people. today. a. Write a linear model that represents the population of Bay Village x years from people? b. In approximately many years will the population of Bay Village exceed 50,000 7. Conner has P25,000 in his bank account. Every month he spends P1,500. 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? 8. A cell phone plan costs P30 per month for unlimited calling plus PO. 15 per text message. a. Write a linear model that represents the monthly cost of this cell phone plan if the user sends t text messages. b. If you send 200 text messages, how much would you pay according to this cell phone plan? 9. Ben walks at a rate of 3 miles per hour. He runs at a rate of 6 miles per hour. In one week, the combined distance that he walks and runs is 210 miles. a, Write a linear model that relates the number of hours that Ben walks to the number of hours Ben runs. b. Ben runs for 25 hours. For how many hours does he run? 10. A salesperson receives a base salary of P35,000 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 k dollars.b. If the salesperson sells P250,000 worth of merchandise, what is her total income 3 for the year, including her base salary? X 1 1. Amery has x books that weigh 2 pounds each and y books that weigh 3 books each. The total weight of his books is 60 pounds. a. Write a linear model that relates the number of 2 pound books to the number of 3 pound books Amery has. b, If Amery has 10 3-pound books, how many 2-pound books does he have? 12. Max sells lemonade for P2 per cup and candy for P1.50 per bar. He earns P425 selling lemonade and candy. a, Write a linear model that relates the number of cups of lemonade he sold to the number of bars of candy he sold. b. If Max sold 90 bars of candy, how many cups of lemonade did he sell? Challenge Problems 13. A bacteria population doubles every minute. Explain why this population growth cannot be modeled using a linear equation. 14, Kara used the linear model y = 20,000 + 0.3x to predict her total salary from achieving total sales of x. What is her base salary? What percent commission does she earn? . 15. Correct the Error Question: The model 2x + 5y = 85 can be used to model how much money Tim spent on & sodas and y sandwiches. If he bought 15 sodas, how many sandwiches did he purchase? Solution: 2x + 5(15) = 85 2x + 75 = 85 2x = 10 or x = 2 Tim bought 2 sandwiches. What is the error? Explain how to solve the