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Chapter 7: Problem 20
What is an objective function in a linear programming problem?
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Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{l}y>2 x-3 \\ y<-x+6\end{array}\right.\)
Graph each linear inequality. \(x-y \leq 1\)
The percentage of adult height attained by a girl who is \(x\) years old can be modeled by $$ f(x)=62+35 \log (x-4), $$ where \(x\) represents the girl's age (from 5 to 15 ) and \(f(x)\) represents the percentage of her adult height. Use the function to solve Exercises 37-38. a. According to the model, what percentage of her adult height has a girl attained at age ten? Use a calculator with a LOG key and round to the nearest tenth of a percent. b. Why was a logarithmic function used to model the percentage of adult height attained by a girl from ages 5 to 15 , inclusive?
The data can be modeled by $$ f(x)=782 x+6564 \text { and } g(x)=6875 e^{0.077 x} \text {, } $$ in which \(f(x)\) and \(g(x)\) represent the average cost of a family health insurance plan \(x\) years after 2000. Use these functions to solve Exercises 33-34. Where necessary, round answers to the nearest whole dollar. a. According to the linear model, what was the average cost of a family health insurance plan in 2011? b. According to the exponential model, what was the average cost of a family health insurance plan in 2011 ? c. Which function is a better model for the data in 2011 ?
Graph each linear inequality. \(2 x+3 y>12\)
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