Explanation Given: The following situation can be modified by linear functions. In each case, write an equation for the linear function and use it to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. “In 2012 , Dana Vollmer set the women’s world record in the 100 -meter butterfly (swimming) with a time of 55.98 seconds. Assume that the record falls at a constant rate of 0.05 second per year. What does the model predict for the record in 2020 ?” The given description is a linear model as it can be represented in the form y = m x + b as y = − 0.05 x + 55.98 where x represent the time (number of years) which is the independent variable, y represents the time taken (in seconds) to complete the 100 -meter butterfly (swimming) which is dependent variable, m represents the slope (constant decrease rate) which equals 0.05 s / y r . and the y − intercept represents the time taken to complete the 100 -meter butterfly (swimming) in 2012 and equals to 55.98 seconds...

15th Edition

ISBN: 9781269927116

Author: Bennett

Publisher: PEARSON

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Chapter 9.B, Problem 24E

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The linear equation of the function and use it to answer the given question, and identify the independent and dependent variables, also discuss whether a linear model is reasonable for the situation described.

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Chapter 9.B, Problem 23E

Chapter 9.B, Problem 25E

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