Week 11:

Due Tuesday, October 30 : Read the the posting on quadratic functions that is on WebCT (go to the Math 5035 WebCT homepage and click on "Course Content").

Due Thursday, November 1 : Hand in: (typed OR neatly written 2nd or later draft): 1) (a) Use a picture to help you explain how to "complete the square" to put x^2 + 8x + 17 in vertex form. (b) Using the vertex form in part a, find the maximum or minimum value that x^2 + 8x + 17 attains and explain logically why that value must be the maximum or minimum. 2) A raffle at a fall festival is being planned at a school. The planners figure that if they sell raffle tickets at $10 each, nobody will buy them, and if they "sell" them at $0 each, all the raffle tickets will be "sold". The planners also figure that the relationship between the price of a raffle ticket and the number of raffle tickets they will sell at that price is linear. There are 500 tickets available to sell. The only expense for the raffle is $5 to buy the roll of 500 tickets. (a) Based on the given assumptions, write an equation expressing y, the profit from the raffle, as a function of x, the price at which each raffle ticket is sold. (Recall that profit = income - expenses.) (b) Find the price for a raffle ticket that will produce the maximum profit and to explain why that must be the maximum profit.

Upcoming: The field assignment is due Thursday, November 29. Math 7035 extra assignment 3 (the final one) is posted and due Tuesday, November 27.

Week 12:

Due Tuesday, November 6 : QUIZ on functions and their graphs, characteristics of linear functions and how these characteristics are related, and on distinguishing linear functions from functions that are not linear. Read section 13.1 and do the practice problems. Hand in: (typed OR neatly written 2nd or later draft): 1) Explain how to use reasoning to solve the equation 3(x - 2)^2 - 21 = 0 without applying the quadratic formula (this is the reasoning we use to deduce the quadratic formula). 2) (a) Write a story problem such that solving your problem will require finding all the factors of 48. Solve your problem. (b) Write a story problem such that solving your problem will require finding several multiples of 15. Solve your problem.

Due Thursday, November 8 : Read section 13.2 and do the practice problems.