By James Stewart, Lothar Redlin, Saleem Watson, Phyllis Panman
This article bridges the distance among conventional and reform methods to algebra encouraging scholars to determine arithmetic in context. It provides fewer issues in larger intensity, prioritizing information research as a starting place for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical suggestions in addition to connecting arithmetic to actual existence events drawn from the scholars' majors
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College algebra : concepts & contexts
This article bridges the distance among conventional and reform techniques to algebra encouraging scholars to work out arithmetic in context. It provides fewer themes in better intensity, prioritizing facts research as a starting place for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical options in addition to connecting arithmetic to genuine lifestyles occasions drawn from the scholars' majors.
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Is a linear model appropriate? 3. The equation L = 4S is a linear model for the total number of legs L that S sheep have. Using the model, we find that 12 sheep have L = 4 * legs. = ٗ ٗ 4. Suppose digital cable service costs $49 a month with an initial installation fee of $110. We make a linear model for the total cost C of digital cable service for x months by writing the equation ______________. Think About It 5. What is the purpose of making a model? Support your answer by examples. 6. Explain how data, equations, and graphs work together to describe a real-world situation.
D) What pattern or trend do you see in these data? 2 lb/in2. 2 lb/in2 at a depth of 30 ft. 5 lb/in2 for each successive 10-ft increase in depth shown in the data. (d) From the table we see that the pressure seems to increase steadily as the depth increases. 1 Exercises CONCEPTS Fundamentals 1. (a) What are one-variable data? Give examples. (b) What is the difference between one-variable data and two-variable data? Give examples. 2. What is meant by central tendency for one-variable data? Measures of central tendency for one-variable data include the average and the _______.
2 ■ Making a Linear Model from Data A model is a mathematical representation (such as an equation) of a real-world situation. Modeling is the process of finding mathematical models. Once a model is found, it can be used to answer questions about the thing being modeled. Many real-world data start with an initial value for the output variable, and then a fixed amount is added to the output variable for each unit increase in the input variable. For example, the production cost for manufacturing a certain number of cars consists of an initial fixed cost for setting up the equipment plus an additional unit cost for manufacturing each car.