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Bell Work

Bell Work. 1. A store is offering a 15% discount on all items. a . Write a linear equation giving the sale price, S for an item with a list price, L. b . Find the sale price of an item originally priced at $39 .

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Bell Work

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  1. Bell Work

  2. 1. A store is offering a 15% discount on all items. • a. Write a linear equation giving the sale price, S for an item with a list price, L. • b. Find the sale price of an item originally priced at $39.

  3. 2. Find the value of for the triangle. The perimeter of the triangle is 24ft.

  4. 3. A manufacturer pays its assembly line workers $11.50 per hour. In addition,workers receive a piecework rate of $0.75 per unit produced. • a. Write a linear equation for the weekly wages W in terms of the number of units x produced per hour. • b. Find the wages of a worker who works a 40-hour week and produces 350 units.

  5. 4. solve

  6. 5. Your school is sponsoring a pancake dinner to raise money for a field trip. You estimate that 200 adults and 250 children will attend. Let x represent the cost of an adult’s ticket and y represent the cost of a child’s ticket. • A)Write an equation that can be used to find out what ticket prices could be set in order to raise $3800. • B)If the school sets the child’s ticket price at $4.80, what would the adult’s tickets price be?

  7. 6. Which of the following is a true statement regarding domain, range, relations, and functions? • a. In a relation, domain values can be repeated. • b. In a function, range values can be repeated. • c. Both statements are true.

  8. 7.Find the value of x so that the line passing through that two points has the given slope. • (1, 4) (x , 3 ) m=

  9. 8. Find the value of y so that the line passing through that two points has the given slope. • (, 1) (1 , y ) m=

  10. 9. Find the value of y so that the line passing through that two points has the given slope. • (, y) (3 , 2 ) m=

  11. 10. You find a coat that you love, it sells for $145.98. • a. When you go to the register to buy the coat the sales person charges you sales tax at a rate of 8.25%. How much did you pay for the coat? • b. When you go to another store later that day you find that same jacket is on sale at a 28% discount! How much would you have saved by buying the coat at the 2nd store? (Remember that every store must charge sales tax. It is the same rate if you are in the same city)

  12. 11. The cost of renting a 26-foot U-Haul truck is $39.95 per day and $0.59 per mile. Let f(x) represent the cost ofrenting a truck for a day and driving it “x” miles.. • a) Write the equation for this function.. • b) How much will it cost to rent a truck for a day if the driver goes a total of 32 miles? • c) How far did you drive if you spent $93.05? • D) What is dependent in the situation? • E)What is independent in this situation?

  13. 12. A certain long distance company charges $5 a month for their service plus an additional $0.05 per minute oncalls. If “x” represents the total number of minutes of long distance used during any given month and “f(x)”represents the cost of the bill for that month, find the following: • a) Find the equation of the line. • b) How long did you talk if your bill was $10.15? • c) If no long distance calls were made during a particular month, how much is the bill? • d) Find the cost of a bill during a month where 250 minutes of long distance were used. • e) What does f(50) represent?

  14. 13. After 8 minutes, the altitude of an airplane above the runway is 6 thousand feet. After 12 minutes, the altitudeof the same airplane is 9 thousand feet. • a) What is the rate of change of the altitude per minute? • b) What is the altitude of the airplane after 15 minutes?

  15. 14. According to the Census, the population of the Metro-Augusta area in 1990 was 415,184 and in 2000 was477,441. Let “x” represent the year after 1990 and “f(x)” represent the number of people in Augusta “x” yearsafter 1990. • a) What is the rate of change of the population per year? • b) If the rate of change remains the same, what is the expected population in 2010?

  16. 15. If k(x) = 5 x + 3, then k(2 a – 1) = • a. 2 ak – k • b. 10 a – 2 • c. 10 a + 2

  17. 16. A SQUARE has side lengths of (2 – 11 + 13x) and (11 – x + 4x). • What is the perimeter of the square?

  18. 17. You are running a concession stand at the basketball game. You sell hot dogs for $1 and sodas for $.50. At the end of the night, you made $200. Let x represent the number of hot dogs sold and y represent the number of sodas sold. A)Write an equation that represents this situtation.

  19. 18. John is an insurance salesman who works on commission. Each time he gets a new client who purchases car insurance, he earns $100 in commission. Each time he gets a client who purchases homeowners insurance, he earns $50 in commission. Let x represent the number of clients who purchase car insurance and let y represent the number of clients who purchase homeowners insurance. Write an equation that you could use to find out how many clients, for each type of insurance, John would need to earn $3000 in commission. A)Write an equation that represents this situtation.

  20. 19. solve

  21. 20. Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that saleswere $13,500 in 1982 and $65,500 in 1987. Let x = 0 represent 1982 • a) What x-value represents 1987? • b) Find the equation giving yearly sales.

  22. 21.Green Glass Recycling uses the function given by F(t) = -5000t + 90,000 to determine the salvage value indollars of a waste removal truck t years after it has been put into use. • a) What does F(T) mean? • b) What does t mean? • c) What does 90,000 mean? • d) What does -5000 mean? • e) What is the salvage value of the truck after it has been in operation for 6 years? • f) How many years can the truck be used before the salvage value of the truck is $25,000? • g) When is the value of the truck $0? • h) What is the value of the truck at time of purchase?

  23. 22. The mathematical model C(x) = 450x + 25,000 represents the cost in dollars a company has in manufacturing“x” computers during a month. Based on this: • a) How much does it cost the company if no computers are made a certain month? • b) How many computers can be made for $115,000 in a certain month? • c) How much will it cost the company during a month where 350 computers are made? • d) What does the 25,000 represent? • e) What does the 450 represent? • f) What does x and C(x) represent?

  24. 23. It is estimated that there were C(x) = 2.4x + 24 million homes in the U.S. with computers from 1991 to 2005.If “x” represents the years after 1991, find the following: • a) What value of “x” represents 2000? • b) Find the estimated number of computers in U.S. homes in the year 2000. • c) In what year is it estimated that there are 50 million computers in U.S. homes?

  25. 24. Determine the domain and range for the following equation. 2 x+ 3 y = 6 • a. domain = {2} and range = {3} • b. domain = {all real numbers} and range = {all real numbers} • c. domain and rage cannot be determined

  26. 25. solve

  27. 26. If f = {(1, 3),(2, 1),(3, 2),(4, 0)}, then which of the following statements is false? • a. f(1) = 3 • b. domain of f = {1, 2, 3, 4} • c. f(1) = 2

  28. 28.Which is true? a. domain = { x: x ≤ 5} and range = { y: y ≥ –5} b. range = { y: y ≤ 5} and domain = { x: x ≥ –5} c. domain = {all real numbers} and range = {all real numbers}

  29. 29. Slope and Rate of Change (m), … • Special Cases • Vertical lines like x = 4 A. What is the SLOPE? • Horizontal lines line y = 4 B. What is the SLOPE? 3, Ac2A

  30. 30.mand b in a Linear Function-Fill in the blank (then….taks_tutorial - A Very Good Teacher\9th Grade\9th Grade\Objective 3\Objective 3 Powerpoint.ppt • Changes to m, the slope of a line, effect its_________ • Changes to b, the y intercept of a line, effect its__________ y = 1 - 4 3, Ac2C

  31. 31. What is x? • The quotient of x and a number 12 is negative sixty.

  32. 32. How big is the shadow of the tree? • A tree is 6 feet tall and casts a shadow that is x feet long. A light pole is 14 feet tall casts a shadow that is x+20 feet long.

  33. 33. Translate the statement • Four less than the quotient of ten and x is twenty.

  34. 34. Find the length. • The perimeter of a rectangle is 120 cm and the width is 28 cm.

  35. 35. Find the Dimensions. • The length of a rectangle is 5 cm more than its width. The perimeter of the rectangle is 26.

  36. 36. How fast did Jack drive? • Jack drove 62 miles per hour for 8 hours.

  37. 37. How far did RAchel go? • Rachel drove 378 miles for 7 hours.

  38. 38. Solve for y • .

  39. 39. Solve for x • .

  40. 40. Solve for l • .

  41. 41. Solve for w • .

  42. 42. In the equation , what is the value of ?

  43. 43. What is the x and y intercepts?

  44. 44. Vertical lines • Draw it. • Identify the slope. • What does the equation look like? • Is it a function

  45. 45. Horizontal lines • Draw it. • Identify the slope. • What does the equation look like? • Is it a function

  46. 46. What will happen if the slope is doubled? It will move up 2 units. It will move down 2 units. It will become steeper. It will become less steep.

  47. 47. What will happen if the slope is halved? It will move up 2 units. It will move down 2 units. It will become steeper. It will become less steep.

  48. 48. What will happen if the yintercept is changed -1? It will move up 2 units. It will move down 2 units. It will become steeper. It will become less steep.

  49. 49. What will happen if the yintercept is changed -5? It will move up 2 units. It will move down 2 units. It will become steeper. It will become less steep.

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