Algebra

MATH133 UNIT 2: Quadratic Equations

Individual Project Assignment: Version 2A

Name (Required): Regina Morris________________________________________________

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Problem 1: Modeling Profit for a Business

IMPORTANT: See Question 3 below. This is mandatory.

Remember that the standard form for the quadratic function equation is y = f (x) = ax2 + bx + c and the vertex form is y = f (x) = a(x – h)2 + k, where (h, k) are the coordinates of the vertex of this quadratic function’s graph.

You will use P(x) = -0.2x2 + bx – c where (-0.2x2 + bx) represents the business’s variable profit and c is the business’s fixed costs.

So, P(x) is the store’s total annual profit (in $1,000) based on the number of items sold, x.

1. (List your chosen value for b between 100 and 200.)

2. (List what the fixed costs might represent for your fictitious business, and be creative; also list your chosen value for c from the table below).

If your last name begins with the letter | Choose a fixed cost between |

A–E | $5,000–$5,700 |

F–I | $5,800–$6,400 |

J–L | $6,500–$7,100 |

M–O | $7,200–$7,800 |

P–R | $7,800–$8,500 |

S–T | $8,600–$9,200 |

U–Z | $9,300–$10,000 |

3. Important: By Wednesday night at midnight, submit a Word document with only your name and your chosen values for b and c above in Parts 1 and 2. Submit this in the Unit 2 IP submissions area. This submitted Word document will be used to determine the Last Day of Attendance for government reporting purposes.

4. (State that quadratic profit model function’s equation by replacing b and c with your chosen values.) 2

y=f(x) = ax + bx + c

2

y=f(x) = ax + 150+ 7,200

5. (Choose five values of x...