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01/01/2018
Math 133 Unit 1 Individual Project 2b
Name: ___________________________________________
MATH133 Unit 1 Individual Project 2 B
1) The following graph shows how a 4-color web printing press depreciates from the year 2006 to the year 2010. It was purchased new in the year 2006; therefore x = 0 represents the year 2006.
see attached file
X – axis (horizontal) = years starting from 0 = 2006 and increasing by 0.5 years Y – axis (vertical) = price in $ amounts from 12,000 to 120,000
a) List the coordinates of any two points on the graph in (x, y) form. The numbers on the horizontal axis are 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, and 4.0.
(___, ___),(___, ___)
b) Find the slope of this line:
c) Find the linear equation of this line in slope-intercept form.
d) If trend for the depreciation of the press continued, what would be its value in the year 2015? Show how you obtained your answer using the linear equation you found in part c).
e) If the trend continued, in how many years would the value of the printing press be $24,000? Show how you obtained your answer using the linear equation you found in part c).
2) Suppose that the length of a rectangle is three cm longer than twice the width and that the perimeter of the rectangle is 90 cm.
a) Set up an equation for the perimeter involving only W, the width of the rectangle.
b) Solve this linear equation algebraically to find the width of the rectangle. Find the length as well.
Answer: Length ______, Width ______
c) Using the same length as your answer in part b), find a new perimeter if the new width is 5 less than one-half of the length.
3) A temporary agency offers two payment options for administrative help:
Option1: $25 daily fee plus $10/hour; or
Option 2: No daily fee but $15/hour.
Let x = total hours worked.
a) Write a mathematical model representing the total temp cost, C, for a four-day temporary administrative assistant in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________
b) How many total hours would the temp need to work in the four-day period for the cost of Option 1 to be less than Option 2. Set up an inequality and show your work algebraically using the information in part a). Don’t forget about the daily fee in Option 1 (it’s a four-day proposition!).
c) Summarize your findings in a brief sentence.
4) Graph the equations by completing the tables and plotting the points on separate
graphs. 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 – 5. Show your work.
see attached file
b) Graph the equation here by plotting the points from your table.
c) Complete the table using the given values of x and the equation -3x + y = 7. Show your work.
see attached file
d) Graph the equation here by plotting the points from your table.
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Full Step-by-Step Solutions using MathType in a Word Document
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MATH133_U1IP2b.pdf
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Subjects
:
Algebra
Topic
:
MATH133, MATH133_U1IP2b
Level
:
College/ University
Tags
:
American InterContinental University, AIU, MATH133, MATH133_U1IP2b
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Project Details
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MATH133_U1IP2b.pdf
Subjects
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Algebra
Topic
:
MATH133, MATH133_U1IP2b
Level
:
College/ University
Tags
:
American InterContinental University, AIU, MATH133, MATH133_U1IP2b
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