MATH 115 MIDTERM EXAM

MATH 115 MIDTERM EXAM November

NAME: _______________________________

I have completed this assignment myself, working independently and not consulting anyone except the instructor.

INSTRUCTIONS

· The quiz is worth 100 points. There are 12 problems.

· Each problem is worth 8 points (I will add 4 points to everyones grade)

· This quiz is open book and open notes . This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission). You may take as much time as you wish, provided you turn in your quiz no later than this Sunday.

· Show work/explanation. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also. In your document, be sure to include your name and the assertion of independence of work.

· General quiz tips and instructions for submitting work are posted in the Quizzes module.

· If you have any questions, please contact me by e-mail.

(A)

cosine1period

(B)

(C)

absvalgraph.gif

(D)

(a) Which of these graphs represents a function? Answer(s): ____________

(b) Which of these graphs represents a one-to-one function? Answer(s): ____________

2. Convert to a logarithmic equation: 3x = 243. 3. ______

3. Laura is a salesperson who must decide between two monthly income options.

Option A: Salary of $1030 per month, plus 12% of monthly sales (in dollars)

or Option B: Salary of $1882 per month, plus 8% of monthly sales (in dollars)

(a) State a linear function f (x) that represents the Option A total income, given monthly sales of x dollars.

(b) State a linear function g(x) that represents the Option B total income, given monthly sales of x dollars.

For what amount of monthly sales is Option A the better choice rather than Option B?

To answer the question, should you solve the inequality f (x) g(x) or the inequality f (x) g(x) ?

Write the appropriate inequality, show how to solve it, and state your answer to the question in a sentence.

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