Exchange Rates
You may travel outside México and should be familiar with currency conversion rates since currencies other than Mexican Pesos are used in most other countries. As of October 15, 2011, one US dollar was equivalent to 0.7749 Euros. A linear equation of a function, E, which converts US dollars (D) to Euros (E) would be E = 0.7749D

You would just put the number of dollars in for "D" and multiply by 0.7749 and this will give you the number of Euros you would get for your US dollars. This is a "real world application" of a linear function. Cell Phones

Just about everyone has a cell phone, and most rate plans are a linear function of some kind. Let's take a look at a basic example that is a real-life application of a linear equation. If you pay 20 dollars a month for your cell phone and 5 cents per minute of usage the monthly cost of using your cell phone would be a linear equation of a function, C, the monthly cost based on the number of minutes you use monthly. C = 0.05m + 20

You can see that your cost is 20 dollars plus five cents times the number of minutes you use your cell phone. Travel
Let's say we are going on a trip where we are averaging 60 miles per hour, this is a linear function. The equation would be D = 60t
where D is the distance covered in t hours. You would just put a time in hours in for t to see how far you get (D miles). You can see you don't have to look far for real-life examples of linears functions.

Other examples:
The linear function F = 1.8C + 32 can be used to convert temperatures between Celsius and Fahrenheit. If a utility company charges a fixed monthly rate plus a constant rate for each unit of power consumed, a linear function will show the monthly cost of power. If the fixed rate is $25, and the cost for each unit of power is $0.02, the linear function is C = 0.02P + 25. The linear function I = 400C + 1,500 yields the total monthly income of a car salesman who makes a monthly base salary of $1,500 and receives...

...Application of linearfunctions in Economics (or) Application of straight lines in Economics
The linearfunction is one in which ‘y’ is the first degree expression in ‘x’, i.e., y = ax + b. The graph of this function is a straight line. The co-efficient of x represents the slope of the line. If a > 0, then the lines are upward sloping, and if a < 0, then the lines are downward sloping Let us explain certain linear equations used in Economics and business.
1. Linear cost curves
The total cost curve is rising to the right as the cost of production increases with the output Q of commodity X.
Example
If TC = 12x + 6, AC = 12 + 6 , MC = 12. x
Thus, with the help of the linear cost function, we can estimate the cost for various levels of output.
2. Linear Revenue curves
Revenue is the amount of money derived from the sale of a product. It depends upon the price and quantity sold. Thus, given the market price of a commodity, we can estimate the revenue of a firm for various levels of output.
3. Supply curve
The supply function is used to specify the amount of a particular commodity available in the market at various prices. In general, supply increases when price rises, and decreases when price falls. The supply...

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GRAPH OF LINEARFUNCTIONS
Teacher’s Guide
Description
This Teacher Support Material is designed to provide students with hands on activity relative to teaching linearfunctions.
Rationale
It has been observed that students find difficulty in graphing linearfunctions because students cannot relate previous knowledge of linear equations in their Intermediate Algebra tolinearfunctions in Advance Algebra. This TSM is designed to help students graph linearfunction effectively.
Target Audience
Fourth Year Students under the SEC Curriculum
Learning Competency
Graph of LinearFunctions
Duration
One Hour
Objective
Students will be able to graph linearfunctions by:
1. Using any two points
2. Using the slope and a point
3. Using the slope and the y-intercept
Preparation
Students should have already acquired the knowledge in graphing functions and its operations.
Instructions
1. Identify two points on the graph of the linearfunction, and then draw a line through these points.
2. Plot a point of the function and then, identify another point using the given slope of the function.
3. Use the slope and y-intercept of the function; since the...

...Nelson
Series Author and Senior Consultant Marian Small Lead Author Chris Kirkpatrick Authors Barbara Alldred • Andrew Dmytriw • Shawn Godin Angelo Lillo • David Pilmer • Susanne Trew • Noel Walker
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Functions 11 Series Author and Senior Consultant Marian Small Lead Author Chris Kirkpatrick Authors Barbara Alldred, Andrew Dmytriw, Shawn Godin, Angelo Lillo, David Pilmer, Susanne Trew, Noel Walker Contributing Authors Kathleen Kacuiba, Ralph Montesanto Senior Consultant David Zimmer Math Consultant Kaye Appleby
General Manager, Mathematics, Science, and Technology Lenore Brooks Publisher, Mathematics Colin Garnham Associate Publisher, Mathematics Sandra McTavish Managing Editor, Mathematics David Spiegel Product Manager Linda Krepinsky Project Manager Sheila Stephenson Developmental Editors Nancy Andraos, Colin Bisset, Ingrid D'Silva, Tom Gamblin, Anna-Maria Garnham, Betty Robinson
Contributing Editors Alasdair Graham, First Folio Resource Group, Inc., Tom Shields, David Gargaro, Robert Templeton, First Folio Resource Group, Inc., Caroline Winter Editorial Assistant Caroline Winter Executive Director, Content and Media Production Renate McCloy Director, Content and Media Production Linh Vu Senior Content Production Editor Debbie Davies-Wright Production Manager Cathy Deak Senior Production Coordinator Sharon Latta Paterson Design Director Ken Phipps...

...Computer Linear Algebra-Individual Assignment
Topic: Image Sharpening and softening (blurring and deblurring).
Nowadays, technology has become very important in the society and so does image processing. People may not realize that they use this application everyday in the real life to makes life easier in many areas, such as business, medical, science, law enforcement. Image processing is an application where signal information of an image is analyzed and manipulated to transform it to a different stage. This technique can be done simply by changing the nature of the image using change of basis.
In most situations, people prefer a better image with high resolution, sharper, more detail, etc. Image can be describes as a collection of pixels that have different component depends on the digital signals that digitized as a matrix. These signals came from different energy such as wavelength, frequency. Fourier basis manipulate the image by changing the signal in the pixels. Some signals that give a similar coefficient can be eliminated so that the picture become blurrier or vice versa. These kind functions are found in many situations such as the speeding camera. Speeding camera capture high-speed object, which in return give a result of, blur image. It is almost impossible for human eye to see or track the plate number of the fast moving vehicle without deblurring the image because the range is too high. Fourier change basis is the easiest...

...BUSINESS MATHEMATICS: ASSIGNMENT - “Section” 5.1, page 182.
(1) Write the general form of a linearfunction involving five independent variables.
(2) Assume that the salesperson in Example 1 (page 177) has a salary goal of $800 per week. If product B is not available one week, how many units of product A must be sold to meet the salary goal? If product A is unavailable, how many units be sold of product B?
(3) Assume inExample 1 (page 177) that the salesperson receives a bonus when combined sales from the two products exceed 80 units. The bonus is $2.50 per unit for each unit over 80. With this incentive program, the salary function must be described by two different linearfunctions. What are they, and when are they valid.
(4) For Example 4 (page 181), how many units be produced and sold in order to (a) earn a profit of $1.5 million, and (b) earn zero profit (break even)?
(5) A manufacturer of microcomputers produces three different models. The following table summarizes wholesale prices, material cost per unit, and labor cost per unit. Annual fixed costs are $25 million.
________________________________________
__________Microcomputers_________
Model 1 Model 2 __ Model 3
Wholesale...

...LinearFunctions
There are three different ways to write linearfunctions. They are slope-intercept, point-slope, and standard form. There are certain situations where it is better to use one way than another to solve a problem. It is important to understand and comprehend the mechanics of these three forms so that you know what form to use when solving a problem.
The first form, point-slope, is written as y-y1=m(x-x1). M is the slope and x1 and y1 correspond to a point on the line. It's good to use this form when you know the slope of a line and one point on it. In order to solve a problem and write an equation using the point-slope form you need two things. Those things are a point on the line, (x,y), and the slope of the line. For example, say the slope of your line is 4 and a point on the line is (1,5). You would insert the 4 in place of the m, the 1 in place of the x1, and the 5 in place of the y1. When you plug everything into the point-slope equation you get: y-5=4(x-1).
The second form, slope-intercept, is written as y=mx+b. M is the slope and b is the y-intercept. It is good to use this form when you know the slope of a line and the
y-intercept. For example, say that you are given a y-intercept of 6 and a slope of 3. You would insert the 6 in place of the b and the 3 in place of the m. When you plug in your values into the slope-intercept equation you get: y=3x+6.
The last...

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1.1 Origin of the Report
The concept of function is rightly considered as one of the most important in all of mathematics. As the point, the line, and the plane were the basic elements of Euclidean geometry, the dominant theory from the time of Ancient Greece until the Modern Age, the notions of function and derivative constitute the foundation of mathematical analysis, the theory that become central in the development of mathematics since then.
Several fields of business mathematics deal directly or indirectly with functions: mathematical analysis considers functions of one, two, or n variables, studying their properties as well as those of their derivatives; the theories of differential and integral equations aim at solving equations in which the unknowns are functions; functional analysis works with spaces made up of functions; and numerical analysis studies the processes of controlling the errors in the evaluation of all different kinds of functions. Other fields of mathematics deal with concepts that constitute generalizations or outgrowths of the notion of function; for example, algebra considers operations and relations, and mathematical logic studies recursive functions.
1.2 Objectives of the Report
Understanding the concept of functions.
To familiar with the various types of...

...of all, Scenario A is the only linearfunction in the group consisting of A,B, and C. Scenario B is a function, but not linear. Scenario C is not a function.
Scenario A has all the criteria of a linearfunction. For every independent variable (aka “x” value or input) in the domain, there is one and only one dependent variable (aka output or “y” value) in the range. It can be written in the form “y=mx+b” where “m” and “b” are real numbers, “x” is an independent variable, and “y” is a dependent variable. It can be shown as a table with a unique value of “y” for every value of “x”. It graphs as a line. Therefore, Scenario A is linear and a function.
Scenario B is a function because there is one and only one value of “y” (aka dependent variable or output) for every value of “x” (aka independent variable or input). It can be written as a table with corresponding domain and range values. It cannot be written in linear form “y=mx+b” because “x²” is not a real number, but a variable in the equation “y=10x-x²”. It does not graph as a diagonal line, but as a parabola. Hence, it is only a function.
In Scenario C, “x=y²” is not a function and not linear. It is not a function because for some of the “x” values (aka inputs or independent variables) there is more than one...