To determine Three different variables in recent news stories and for each variable, specification of another related variable and then write a paragraph that describes a function relating the two variables. While determining, at least one of our three functions should not use time as the independent variable. Explanation Given: Identify three different variables in recent news stories. For each variable, specify another related variable and then write a paragraph that describes a function relating the two variables. At least one of your three functions should not use time as the independent variable. Mathematical modeling: Mathematics provides tools for analyzing relationships between variables and building models that can help us make educated guesses about the future. Mathematical modeling relies on identifying relationships that describe how one variable changes with respect to another. These relationships can be described in words as well as with equations. Mathematical Model: A mathematical model is a tool to identify the relationships that describe how one variable changes with respect to another, where the relationships can be described in words as well as with equations. It can help us make educated guesses about the future. Mathematical model represents something real and helps us understand it. Mathematical models are based on relationships between quantities that can change; where the relationships are described by mathematical tolls called functions. Some mathematical models consist of only a single function, which we can represent with a simple formula or graph. Models such as those used to study Earth’s climate, may involve thousands of functions and require supercomputers for their analysis. But the basic idea of a function is the same in all cases. Models in recent news stories: F a r M o r e U . S . C h i l d r e n t h a n P r e v i o u s l y t h o u g h t m a y h a v e f e t a l a l c o h o l d i s o r d e r s The above news was published on sixth February, 2018. More American children than previously thought may be suffering from neurological damage because their mothers drank alcohol during pregnancy, according to a new study. In this model, neurological damage suffering of American children is a function of their mothers’ alcohol drinking habit during pregnancy. That means the alcohol drinking habit during pregnancy is the independent variable and the neurological damage suffering of American Children is dependent variable. The study published Tuesday in the journal JAMA, estimates that fetal alcohol syndrome and other alcohol-related disorders among American children are at least at common as autism. The disorders can cause cognitive, behavioral and physical problems that hurt children’s development and learning ability. Based on the surveys conducted over 3000 children in schools and many of their mothers, the researchers estimated conservatively that fetal alcohol spectrum disorders affect 1.1 to 5 percent of children in the country. L i f t W e i g h t s , E a t M o r e P r o t e i n The above news was published on seventh February; 2018. People who would like to become physically stronger should start with weight training and add protein to their diets, according to a comprehensive scientific review of research. In this model, to become physically stronger is a function of adding protein to diet. That means adding protein to diet is independent variable and become physically stronger is dependent variable...

Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)

7th Edition

ISBN: 9780134705187

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

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Chapter 9.A, Problem 44E

To determine

Three different variables in recent news stories and for each variable, specification of another related variable and then write a paragraph that describes a function relating the two variables. While determining, at least one of our three functions should not use time as the independent variable.

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Chapter 9.A, Problem 43E

Chapter 9.A, Problem 45E

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Chapter 9 Solutions

Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)

Ch. 9.A - Prob. 1QQ Ch. 9.A - Prob. 2QQ Ch. 9.A - Prob. 3QQ Ch. 9.A - Prob. 4QQ Ch. 9.A - 5. When you nuke a graph of the function \[z =...Ch. 9.A - 6. The values taken on by the dependent variable...Ch. 9.A - 7. Consider a function that describes how a...Ch. 9.A - Prob. 8QQ Ch. 9.A - Prob. 9QQ Ch. 9.A - 10. Suppose that two groups of scientists have...

Ch. 9.A - Prob. 1E Ch. 9.A - Prob. 2E Ch. 9.A - Prob. 3E Ch. 9.A - Prob. 4E Ch. 9.A - Prob. 5E Ch. 9.A - Prob. 6E Ch. 9.A - Prob. 7E Ch. 9.A - 8. My mathematical model fits the data perfectly,...Ch. 9.A - Coordinate Plane Review. Use the skills covered in...Ch. 9.A - 9-10: Coordinate Plane Review. Use the skills...Ch. 9.A - Identifying Functions. In each of the following...Ch. 9.A - Prob. 12E Ch. 9.A - Prob. 13E Ch. 9.A - Identifying Functions. In each of the following...Ch. 9.A - Prob. 15E Ch. 9.A - Prob. 16E Ch. 9.A - Related Quantities. Write a short statement that...Ch. 9.A - Prob. 18E Ch. 9.A - Prob. 19E Ch. 9.A - Related Quantities. Write a short statement that...Ch. 9.A - Related Quantities. Write a short statement that...Ch. 9.A - 15-22: Related Quantities. Write a short statement...Ch. 9.A - 23. Pressure Function. Study Figure 9.6. Use the...Ch. 9.A - Prob. 24E Ch. 9.A - Prob. 25E Ch. 9.A - Prob. 26E Ch. 9.A - 25-26: Functions from Graphs. Consider the graphs...Ch. 9.A - Prob. 28E Ch. 9.A - 27-30: Functions from Data Tables. Each of the...Ch. 9.A - Prob. 30E Ch. 9.A - Prob. 31E Ch. 9.A - Prob. 32E Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - 31-42: Rough Sketches of Functions. For each...Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Prob. 39E Ch. 9.A - Prob. 40E Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Prob. 42E Ch. 9.A - Everyday Models. Describe three different models...Ch. 9.A - 44. Functions and Variables in the News. Identity...Ch. 9.A - Prob. 45E Ch. 9.A - 46. Variable Tables. Find data on the Web (or two...Ch. 9.B - A linear function is characterized by an...Ch. 9.B - You have a graph of a linear function. To...Ch. 9.B - The graph of a linear function is sloping downward...Ch. 9.B - Suppose that Figure 9. 11 is an accurate...Ch. 9.B - Which town would have the steepest slope on a...Ch. 9.B - Consider the function price = $100 - ( $3/yr) ×...Ch. 9.B - Consider the demand function given in Example 6,...Ch. 9.B - A line intersects the y-axis at a value of y = 7...Ch. 9.B - Consider a line with equation \[y = 12x - 3\]....Ch. 9.B - Charlie picks apples in the orchard at a constant...Ch. 9.B - What does it mean to say that a function is...Ch. 9.B - Prob. 2E Ch. 9.B - How is the rate of change of a linear function...Ch. 9.B - 4. How do you find the change in the dependent...Ch. 9.B - 3. Describe the general equation for a linear...Ch. 9.B - Prob. 6E Ch. 9.B - When I graphed the linear function, it turned out...Ch. 9.B - I graphed two linear functions, and the one with...Ch. 9.B - My freeway speed is the rate of change in my...Ch. 9.B - It's possible to make a linear model from any two...Ch. 9.B - Linear Functions. Consider the following graphs....Ch. 9.B - 11-16: Linear Functions. Consider the following...Ch. 9.B - 11-16: Linear Functions. Consider the following...Ch. 9.B - Linear Functions. Consider the following graphs a....Ch. 9.B - 11-16: Linear Functions. Consider the following...Ch. 9.B - 11-16: Linear Functions. Consider the following...Ch. 9.B - 17-22: Rate of Change Rule. The following...Ch. 9.B - 17-22: Rate of Change Rule. The following...Ch. 9.B - 17-22: Rate of Change Rule. The following...Ch. 9.B - Prob. 20E Ch. 9.B - Prob. 21E Ch. 9.B - Prob. 22E Ch. 9.B - 23-20: Linear Equations. The following situations...Ch. 9.B - Prob. 24E Ch. 9.B - 23-20: Linear Equations. The following situations...Ch. 9.B - Prob. 26E Ch. 9.B - 23-28: Linear Equations. The following situations...Ch. 9.B - 23-28: linear Equations. The following situations...Ch. 9.B - 29-34: Equations from Two Data Points. Create the...Ch. 9.B - 29-34: Equations from Two Data Points. Create the...Ch. 9.B - 29-34: Equations from Two Data Points. Create the...Ch. 9.B - Equations from Two Data Points. Create the...Ch. 9.B - 29-34: Equations from Two Data Points. Create the...Ch. 9.B - Prob. 34E Ch. 9.B - Prob. 35E Ch. 9.B - Prob. 36E Ch. 9.B - Prob. 37E Ch. 9.B - Prob. 38E Ch. 9.B - Prob. 39E Ch. 9.B - 35-42: Algebraic Linear Equations. For the...Ch. 9.B - 35-42: Algebraic Linear Equations. For the...Ch. 9.B - Algebraic Linear Equations. For the following...Ch. 9.B - Linear Graphs. The following situations can be...Ch. 9.B - Prob. 44E Ch. 9.B - Linear Graphs. The following situations can be...Ch. 9.B - Prob. 46E Ch. 9.B - Prob. 47E Ch. 9.B - Prob. 48E Ch. 9.B - Wildlife Management. A common technique for...Ch. 9.B - Linear Models. Describe at least two situations...Ch. 9.B - 51. Nonlinear Models. Describe at least one...Ch. 9.B - Alcohol Metabolism. Most drugs are eliminated from...Ch. 9.B - Properly Depreciation. Go to the IRS website, and...Ch. 9.C - Which statement is true about exponential growth?...Ch. 9.C - A city's population starts at 100,000 people and...Ch. 9.C - A city’s population suns at 100,000 people and...Ch. 9.C - India’s 2017 population was estimated to be 1.34...Ch. 9.C - Suppose that inflation causes the value of a...Ch. 9.C - Figure 9.18(b) shows the graph of an exponentially...Ch. 9.C - Polly received a large dose of an antibiotic and...Ch. 9.C - The half-life of carbon-14 is 5700 years, and...Ch. 9.C - Radioactive uranium-235 has a half-life of about...Ch. 9.C - Compare the list two forms of the exponential...Ch. 9.C - Prob. 1E Ch. 9.C - Prob. 2E Ch. 9.C - 3. Describe how you tan graph an exponential...Ch. 9.C - 4. Describe the meaning of each of the three forms...Ch. 9.C - Prob. 5E Ch. 9.C - Prob. 6E Ch. 9.C - After 100 years, a population growing at a rate of...Ch. 9.C - When 1 used the exponential function in model the...Ch. 9.C - We can use the hurt that radioactive materials...Ch. 9.C - I used the exponential function to figure how much...Ch. 9.C - Review of logarithms. Use the skills coveted in...Ch. 9.C - Prob. 12E Ch. 9.C - Prob. 13E Ch. 9.C - Prob. 14E Ch. 9.C - Review of logarithms. Use the skills coveted in...Ch. 9.C - 11-26: Review of logarithms. Use the skills...Ch. 9.C - 11-26: Review of logarithms. Use the skills...Ch. 9.C - 11-26: Review of logarithms. Use the skills...Ch. 9.C - Review of logarithms. Use the skills coveted in...Ch. 9.C - Prob. 20E Ch. 9.C - Prob. 21E Ch. 9.C - Prob. 22E Ch. 9.C - Prob. 23E Ch. 9.C - Prob. 24E Ch. 9.C - Prob. 25E Ch. 9.C - Prob. 26E Ch. 9.C - 27-34. Exponential growth and decay laws. Consider...Ch. 9.C - 27-34: Exponential growth and decay laws. Consider...Ch. 9.C - . Exponential growth and decay laws. Consider the...Ch. 9.C - . Exponential growth and decay laws. Consider the...Ch. 9.C - . Exponential growth and decay laws. Consider the...Ch. 9.C - Prob. 32E Ch. 9.C - Prob. 33E Ch. 9.C - . Exponential growth and decay laws. Consider the...Ch. 9.C - Annual vs. Monthly Inflation. Answer the following...Ch. 9.C - Annual vs. Monthly Inflation. Answer the following...Ch. 9.C - Hyperinflation in Germany. In 1923, Germany...Ch. 9.C - Prob. 38E Ch. 9.C - 39. Extinction by Poaching. Suppose that poaching...Ch. 9.C - World Oil Production. Annual world oil production...Ch. 9.C - Prob. 41E Ch. 9.C - Aspirin Metabolism. Assume that for the average...Ch. 9.C - Prob. 43E Ch. 9.C - Prob. 44E Ch. 9.C - Prob. 45E Ch. 9.C - Metropolitan Population Growth. A small city had a...Ch. 9.C - Rising Home Prices. In 2000, the median home price...Ch. 9.C - Periodic Drug Doses. It is common to take a drug...Ch. 9.C - 49. Increasing Atmospheric Carbon Dioxide. Direct...Ch. 9.C - Prob. 50E Ch. 9.C - Inflation Rate in the News. Find a news report...Ch. 9.C - Prob. 52E Ch. 9.C - Radiometric Dating in the News. Find a news report...Ch. 9.C - Prob. 54E Ch. 9.C - Prob. 55E

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