Chapter 7: Problem 78
Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. I find it easiest to use the addition method when one of the equations has a variable on one side by itself.
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Chapter 7: Problem 78
Make Sense? Determine whether each statement makes sense or does not make sense, and explain your reasoning. I find it easiest to use the addition method when one of the equations has a variable on one side by itself.
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Each group member should consult an almanac, newspaper, magazine, or the Internet to find data that can be modeled by linear, exponential, logarithmic, or quadratic functions. Group members should select the two sets of data that are most interesting and relevant. Then consult a person who is familiar with graphing calculators to show you how to obtain a function that best fits each set of data. Once you have these functions, each group member should make one prediction based on one of the models, and then discuss a consequence of this prediction. What factors might change the accuracy of the prediction?
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?
In Exercises 23-24, use a table of coordinates to graph each exponential function. Begin by selecting \(-2,-1,0,1\), and 2 for \(x\). Based on your graph, describe the shape of a scatter plot that can be modeled by \(f(x)=b^{x}, 0
Describe the shape of a scatter plot that suggests modeling the data with an exponential function.
Explain how to graph \(2 x-3 y<6\).
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