Math and week 3a

See attached

MATH 106 QUIZ 2

January-February, 2013 Instructor: S. Sands

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 10 problems, some with multiple parts. 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 Sunday, February 3.

·
Show work/explanation where indicated. 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 conference.

· If you have any questions, please contact me by e-mail or phone (540-338-7120).

1. (4 pts) State the equation of the vertical line passing through the point (–9, 1). 1. ______

(No work/explanation required)

A. x = –9

B. y = –9

C. x = 1

D. y = 1

2. (6 pts) Which of the following is TRUE about the line through the points (2, –5) and (6, –5)?

Explain. 2. _______

A. The slope is undefined.

B The slope is positive.

C. The slope is 0.

D. The slope is negative.

3. (6 pts) Solve the inequality 6 – (7 – 3x) 9(1 + 2x). Show work. 3. ______

A. x –10/21

B. x –2/3

C. x –10/21

D. x –2/3

4. (8 pts) Which of the following equations does the graph represent? Show work or explanation. 4. ______

A.
B.
C.
D.

5. (8 pts) What is the equation of a line having slope –6 and passing through the point (–1, 8)?

Show work/explanation. 5. _______

A. y = – 6x + 2

B. y = – 6x – 8

C. y = – 6x + 9

D. y = (1/6)x + 49/6

6. (12 pts) Nicole purchased a dishwasher. 4.5% sales tax and then a $36 delivery/installation charge were added. A total of $692.26 was charged to her credit card. What was the purchase price of the dishwasher (before the tax and delivery charge)? Show algebraic work/explanation. Write a sentence to answer the question.

7. (12 pts) Solve, using substitution or elimination by addition (your choice). Show work.

x + 4y = −2

3x − 8y = 9

8. (16 pts) Consider the linear equation 2x + 4y = 5.

(a) Write the linear equation in slope-intercept form.

(b) State the value of the slope.

(c) State the y-intercept for this line.

(d) Find a point on this line other than the y-intercept. (There are infinitely many right answers! Just find one of them.)

9. (14 pts) A small company makes mugs. The company has daily fixed costs of $218 per day and variable costs of $1.50 per mug produced. Mugs are sold for $6.95 each.

(a) What is the cost equation?

(b) What is the revenue equation?

(c) How many mugs must be produced and sold each day for the company to break even? Show algebraic work to find the answer.

10. (14 pts) The Washington, DC average temperature in 1960 was 56.3 degrees. In 2012, the Washington, DC average temperature was 61.5 degrees. Let y be the Washington, DC average temperature in the year x, where x = 0 represents the year 1960.

(a) Find a linear equation which could be used to predict the Washington, DC average temperature y in a given year x, where x = 0 represents the year 1960. Explain/show work.

(b) Use the equation from part (a) to estimate the Washington, DC average temperature for the year 2020. Show some work.

(c) Interpret the slope of the equation in part (a). What is the slope and what does it represent in the context of this application involving average temperature?

Bonus: From the textbook do Section 4.2, #34