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_______________________________________ MATH133 Unit 1 Individual Project 2 A 1) The following graph shows the depreciation for the corporate...
Name: _______________________________________MATH133 Unit 1 Individual Project 2 A1) The following graph shows the depreciation for the corporate airplane from 2006to 2009. The plane was purchased new in 2006; therefore, x = 0 represents theyear 2006.X – axis (horizontal) = years starting from 0 = 2006 and increasing by 0.5 yearsY – axis (vertical) = price in $ amounts from 24,000 to 240,000a) List the coordinates of two points on the graph in (x, y) form. The numbers onthe horizontal axis are 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, and 3.5.(___, ___),(___, ___)b) Find the slope (rate of depreciation) of this line:Answer:Show your work here:c) Find the linear equation of this line in slope-intercept form.Answer:Show or explain your work here:d) If the rate of depreciation continues at the present rate, what will be the plane’svalue in the year 2017? Show how to use the linear equation from part c) toobtain your answer.Answer:Show or explain your work here:e) If the trend continued, in how many years would the plane’s value be $48000?Show how to use the linear equation from part c) to obtain your answer.Answer:Show or explain your work here:2) Suppose that the width of a rectangle is 5 inches shorter than the length and thatthe perimeter of the rectangle is 50 inches. The formula for the perimeter of arectangle is P=2L+2W.a) Set up an equation for the perimeter involving only L, the length of the rectangle.Answer:b) Solve this linear equation algebraically to find the length of the rectangle. Findthe width as well.Answer: Length ______, Width ______Show your work here:c) Using the same width as your answer from part b), find a new perimeter if thenew length is 4 less than three times the width.Answer:Explain your work here in one or two sentences:3) A marketing group developing online ad space is offering two payment options:Option 1: $210 set up fee plus $10/inch of the adOption 2: No set up fee but $25/inch of the adLet x = inches of the proposed ad, for example, x = 2 for a column ad that is 2inches long.a) Write a mathematical model representing the total ad cost, C, in terms ofx for the following:Option 1: C=_________________Option 2: C=_________________b) How many inches of ad space would need to be purchased for option 1to be less than option 2? Set up an inequality and show your workalgebraically using the information in part a).Answer:Show your work here:c) Summarize your findings in a brief sentence.Answer:4) Graph the equations on separate graphs by completing the tables and plottingthe points. You may use Excel or another web-based graphing utility.a) Complete the table using the given values of x and the equation y = -2x + 7.Show your work.x y-1024b) Graph the equation here by plotting the points from your table. For help oncreating your graph in Excel and inserting graphs into a Word Doc please see thetutorial in the Assignment List.c) Complete the table using the given values of x and the equation 3x – y = 8. Showyour work.x y01234d) Graph the equation here by plotting the points from your table. For help oncreating your graph in Excel and inserting graphs into a Word Doc please see thetutorial in the Assignment List.
