By TAN
ISBN-10: 0534492142
ISBN-13: 9780534492144
Within the market-leading FINITE arithmetic FOR THE MANAGERIAL, lifestyles, AND SOCIAL SCIENCES, Soo T. Tan presents a correct, available presentation of finite arithmetic mixed with simply the appropriate stability of functions, pedagogy, and expertise to assist scholars achieve the direction. the hot 8th variation contains hugely attention-grabbing present functions and Microsoft Excel routines to assist stimulate scholar motivation. an exhilarating new array of supplementations, together with iLrn educational and the Interactive Video Skillbuilder CD-ROM, presents scholars with vast studying help so teachers could have extra time to target instructing the center techniques.
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Extra info for Finite Mathematics for the Managerial, Life, and Social Sciences, 8th Edition
Sample text
Formulate Given a real-world problem, our first task is to formulate the problem, using the language of mathematics. The many techniques used in constructing mathematical models range from theoretical consideration of the problem on the one extreme to an interpretation of data associated with the problem on the other. For example, the mathematical model giving the accumulated amount at any time when a certain sum of money is deposited in the bank can be derived theoretically (see Chapter 5). On the other hand, many of the mathematical models in this book are constructed by studying the data associated with the problem.
3 LINEAR FUNCTIONS AND MATHEMATICAL MODELS 29 3. Interpret Bearing in mind that the solution obtained in step 2 is just the solution of the mathematical model, we need to interpret these results in the context of the original real-world problem. 4. Test Some mathematical models of real-world applications describe the situations with complete accuracy. For example, the model describing a deposit in a bank account gives the exact accumulated amount in the account at any time. But other mathematical models give, at best, an approximate description of the realworld problem.
Hint: Refer to the accompanying figure. Show that m1 ϭ b and m2 ϭ c. Next, apply the Pythagorean theorem and the distance formula to the triangles OAC, OCB, and OBA to show that 1 ϭ Ϫbc. y L1 A(1, b) C (1, 0) x O B(1, c) L2 84. The point (1, k) lies on the line with equation 3x ϩ 4y ϭ 12 if and only if k ϭ ᎏ94ᎏ. 2 Solutions to Self-Check Exercises 1. The slope of the line that passes through the points (a, 2) and (3, 6) is 6Ϫ2 4 m ϭ ᎏᎏ ϭ ᎏᎏ 3Ϫa 3Ϫa Since this line is parallel to a line with slope 4, m must be equal to 4; that is, 4 ᎏᎏ ϭ 4 3Ϫa or, upon multiplying both sides of the equation by 3 Ϫ a, 4 ϭ 4(3 Ϫ a) 4 ϭ 12 Ϫ 4a 4a ϭ 8 aϭ2 1 STRAIGHT LINES AND LINEAR FUNCTIONS 2.
Finite Mathematics for the Managerial, Life, and Social Sciences, 8th Edition by TAN
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