MODULE 13

• DISCIPLINE • GOOD TASTE • EXCELLENCE
• Writer: Florefe T. Narne
• Cover Illustrator: Joel J. Estudillo
• Department of Education National Capital Region SCHOOLS DIVISION OFFICE MARIKINA CITY
• You can say that you have understood the lesson in this module if you can already:

  solve real life problems involving quadratic function
• P(x) = -2(x – 50)2 + 3000

  Maximum value
• P(x) = (x – 1000)2 + 5000

  Minimum value
• P(x) = x2 + 14x + 100, where x is the amount spent on products

  Profit of a balut vendor
• S(t) = 14t – t2


  Height of object above house after t seconds
• R = (2000 – 200n) x (500 + 50n)


  Revenue of company every month
• R = (2000 – 500n) x (200 + 50n)


  Revenue of company every month
• R = (50n – 2000) x (500 + 50n)


  Revenue of company every month
• 30 persons in a birthday party


  Number of handshakes
• Math is a _____________________________________________________ .
• The profit P(x) of photocopy machine company is given by the P(x) = x2 + 10x + 100, where x is the amount spent on photocopying
• Gemini sells about 40 packs of poke coins per week at a price of Php100 each. For each P10 decrease in price, Gemini found out that 5 more packs of poke coins per week were sold
• S(t) = 60t – 4t2
• The profit P(x) of sticker company is given by the P(x) = 2x2 - 100x + 2000, where x is the amount spent on printing
• A washing machine company can sell 300 units per month at P 5000 each. Then they found out that they can sell 50 more units every month for each P 1000 decrease in price
• Steps to solve problems involving quadratic functions

  STEP 1

  STEP 2

  STEP 3

  STEP 4
• A ball is thrown upward from the fifth floor window 27m high at a velocity of 9.8 m/sec
• t(x) = 5(x – 10)2 + 100

  Maximum value
• Solving problems involving quadratic function

  1. STEP 1

  2. STEP 2

  3. STEP 3

  4. STEP 4
• What I Have Learned
• Solve the problem
• A ball is thrown upward from the fifth floor window 27m high at a velocity of 9.8 m/sec


  Newton's Formula h = -4.9t2 + vot + ho where h is the height of the object above the ground, t is the number of seconds after the object is thrown, vo is the starting point and ho is the initial velocity
• t(x) = 5(x - 10)2 + 100


  Maximum value of the function
• g(x) = (x - 2000)2 + 3000

  Minimum value of the function
• P(x) = x2 - 100x + 3000


  Profit function where x is the amount spent on fish
• S(t) = 20t - t2


  Height of the object above the tree after t seconds
• R = (3000 - 500n) x (100 + 10n)


  Revenue function where n is the number of bed frames sold
• P(x) = 5(x - 10)2 + 150

  Maximum point of the function
• P(x) = (x - 500)2 + 800

  Minimum point of the function
• H(t) = 20t - 5t2


  Height of a tennis rocket as a function of time
• R = (1500 + 100n) x (250 - 50n)


  Monthly sales function where n is the decrease in price per pair of shoes
• P(x) = x2 + 10x - 5


  Profit function where x is the amount spent on ice water
• S(t) = 50t - t2


  Height of the object above the post as a function of time
• P(x) = x2 - 50x + 1000


  Profit function where x is the amount spent on printing stickers
• P(x) = x2 - 90x + 3000


  Profit function where x is the amount spent on peanuts
• R = (2000 - 500n) x (200 + 50n)


  Revenue function where n is the decrease in price per sack of rice