In Exercises 77-80, a linear function that models data isdescribed. Find the slope of each model. Then describe whatthis means in terms of the rate of change of the dependentvariable per unit change in the independent variable.77. The linear function f(x) = 55.7x + 60.1 models thenumber of smartphones sold in the United States, f(x),in millions, x years after 2006. (Source: Newsweek, April 11,2011)78. The linear function f(x) = 2x + 10 models the amount,f(x), in billions of dollars, that the drug industry spenton marketing information about drugs to doctors x yearsafter 2000. (Source: IMS Health)79. The linear function f(x) = -0.52x + 24.7 models thepercentage of U.S. adults who smoked cigarettes, f(x),x years after 1997. (Source: National Center for Health Statistics)80. The linear function f(x) = -0.28x + 1.7 models thepercentage of U.S. taxpayers who were audited by theIRS, f(x), x years after 1996. (Source: IRS)

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Answered: In Exercises 77-80, a linear function…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 26RE: The number of people afflicted with the common cold in the winter months dropped steadily by 50 each...

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The number of people afflicted with the common cold in the winter months dropped steadily by 50 each yearsince 2004 until 2010. In 2004, 875 people were inflicted. Find the linear function that models the number of people afflicted with the common cold C as a function of theyear, t. When will no one be afflicted?
The number of people afflicted with the common cold C in the winter months steadily decreased by 212 each year from 2005 until 2010. In 2005, 12,097 people were afflicted.Find the linear function that models the number of people afflicted with the common cold C as a function of the year t.
The graph of linear function f passes through the point (1,-9) and has a slope of -3. What is the zero of f ?
Use a linear function to approximate the value of the ∛400 with work.
Determine whether the statement makes sense or does not make sense, and explain your reasoning : A linear function that models tuition and fees at public four year colleges from 2000 through 2016 has negative slope.
A manufacturer of economy cars has determined that 51,000 cars per month can be sold at a price of $9060 per car. At a price of $8760, the number of cars sold per month would increase to 60,000. Determine a linear function that predicts the number of cars that will be sold at a price of x dollars. Use this model to predict the number of cars that will be sold at a price of $8460.
Describe how to tell if a function is linear or nonlinear on a graph, in a table, and in an equation.
What can you say about the characteristics of a linear function that has a slope of 0? Write a careful explanation of your answer. You may provide a mathematical example if you wish to help you illustrate your points, but you must also use sentences as a part of a written description.
Scientists in Malaysia have collected data revealing that there is a linear relationship between the length (snout to vent) of the beaked sea snake and the length of its catfish prey such that l(x) = 2.41 + 0.12x, where x is the snout-vent length (cm) of the snake and l(x) is the predicted length (cm) of the catfish. Source: Biotropica. a. Use the function above to estimate the size of catfish that a snake which has a snout-vent length of 70 cm will choose for prey. b. Calculate the derivative of this function and interpret the results.
It is about linear function, I get two answers, which one is correct?
Do you use x-coordinates or y-coordinates when describing where functions increase, decrease, or are constant?
We opened this section with a study showing that late in the semester, procrastinating students reported more symptoms of physical illness than their nonprocrastinating peers.a. At the beginning of the semester, procrastinators reported an average of 0.8 symptoms, increasing at a rate of 0.45 symptoms per week. Write a function that models the average number of symptoms after x weeks.b. At the beginning of the semester, nonprocrastinators reported an average of 2.6 symptoms, increasing at a rate of 0.15 symptoms per week. Write a function that models the average number of symptoms after x weeks.c. By which week in the semester did both groups report the same number of symptoms of physical illness? For that week, how many symptoms were reported by each group?How is this shown in Figure.

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