## 27 Dec a) Write two ordered pairs

Math 009 Quiz 5 Due: Sunday, August 5, 2018

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Instructions:

The quiz is worth 100 points. There are 10 problems, with the points for each problem shown in brackets right after the problem number. Your score on the quiz will be posted in your assignment folder with comments.

This quiz allows open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone.

You should show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit.

Please type your work in your copy of the quiz, or if you prefer, create a document containing your work, preferably in pdf format. Scanned work is also acceptable. Be sure to include your name and quiz number in the document. Review instructions for submitting your quiz in the Quizzes Module.

If you have any questions, please contact me by e-mail (amir.mobasheran@faculty.umuc.edu)

At the end of your quiz you must include the following dated statement with your name typed in lieu of a signature. Without this signed statement you will receive a zero.

I have completed this quiz myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz.

Name: Date:

Please remember to show ALL of your work on every problem. Please read each problem very carefully and note its requirement(s).

1) [12 points] Graph the linear equation by finding and plotting the intercepts. Show all work and write each intercept as an ordered pair. You may draw your graph on the grid below or create your own graph. Write the equation of the line next to its graph or as a figure caption.

x-intercept =

y-intercept =

2) [12 points] Given the line with the equation

a) Find at least three ordered pairs that satisfy the equation.

b) Find the slope of the line.

c) Graph the line. You may draw your graph on the grid below or create your own graph. Write the equation of the line next to its graph or as a figure caption.

3) [12 points] Given the line with the equation

a) Find at least three ordered pairs that satisfy the equation.

b) Find the slope of the line.

c) Graph the line. You may draw your graph on the grid below or create your own graph. Write the equation of the line next to its graph or as a figure caption.

4) [12 points] Given the line with equation

a) Write the equation in slope-intercept form.

b) State the slope of the line.

c) State the y-intercept of the line as an ordered pair.

d) Use slope-intercept form to graph the line. You may draw your graph on the grid below or create your own graph. Write the equation of the line next to its graph or as a figure caption.

5) [6 points] Find the slope of the line through the points (5, -4) and (7, 2).

6) [7 points] Write in point-slope form,, the equation of the line through the two points given in Problem 5 above.

7) [7 points] Convert the equation that you wrote in Problem 6 above to slope-intercept form,.

8) [8 points] Convert the equation that you wrote in Problem 6 above to standard form,, where A, B, and C are integers and A > 0.

9) [9 points] Given a line with equation, write an equation in point-slope form of the line perpendicular to the given line through the point (-2, 4).

10) [15 points] The manager at a local Best Buy store kept track of daily sales of the iPhone 6 when it was first introduced. He noticed that sales were very high at first, but showed a steady decrease. For example, on day 6 after the phones first went on sale, the store sold 238 iPhone 6’s, but on day 10 after the phones first went on sale, the store sold only 170 iPhone 6’s. Assume that the relationship between number of days since the phone became available and number sold is linear and, let x = the number of days since the phone was released and y = number of phones sold at this Best Buy store.

a) Write two ordered pairs to represent the sales on the days described.

b) Find the slope of the line through those ordered pairs.

c) Write an equation in point-slope form of the line.

d) Convert the equation to slope-intercept form.

e) Explain what the slope and the y-intercept mean in the context of this problem.

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