College algebra : concepts & contexts by James Stewart, Lothar Redlin, Saleem Watson, Phyllis Panman

By James Stewart, Lothar Redlin, Saleem Watson, Phyllis Panman

This article bridges the distance among conventional and reform ways to algebra encouraging scholars to work out arithmetic in context. It provides fewer issues in larger intensity, prioritizing info research as a starting place for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical ideas in addition to connecting arithmetic to genuine lifestyles events drawn from the scholars' majors.

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College algebra : concepts & contexts

This article bridges the space among conventional and reform methods to algebra encouraging scholars to determine arithmetic in context. It provides fewer themes in better intensity, prioritizing information research as a origin for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical strategies in addition to connecting arithmetic to genuine existence occasions drawn from the scholars' majors.

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50 CHAPTER 1 ■ Data, Functions, and Models 59. Blood Flow As blood moves through a vein or an artery, its velocity √ is greatest along the central axis and decreases as the distance r from the central axis increases (see the figure). The equation that relates √ and r is called the Law of Laminar Flow. 25 - √ 24 (a) Express √ as a function of r. 5 cm? 5 cm? 5 cm r 60. Relativity According to the Theory of Relativity, the length of an object depends on its velocity √ with respect to an observer. For an object whose length at rest is 10 m, its observed length L satisfies the equation c 2L 2 + 100√ 2 = 100c 2 where c is 300,000 km/s, the speed of light.

3 Equations: Describing Relationships in Data ■ Making a Linear Model from Data ■ Getting Information from a Linear Model IN THIS SECTION… we learn how to model data by an equation and how the equation allows us to predict data points whose input is outside the domain of our data. This begins our study of modeling—a theme that we encounter throughout this book. 2. Test your graphing skills by doing the Algebra Checkpoint at the end of this section. In the preceding sections we described patterns in data using words or graphs.

64. Restaurant Survey A restaurant in Rolla, Missouri, surveys its customers to help improve the service. The graph shows some of the survey data. Displayed are the ages of the customers surveyed and the numbers of times per month they eat in the restaurant. (a) Make a table of the ordered pairs in the relation given by the graph. (b) List the ordered pair(s) whose input is 50 and the ordered pair(s) with input 72. (c) Use the Vertical Line Test to determine whether the relation is a function.

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