The number of people afflicted with the common cold in the winter months dropped steadily by 55 each year since 2004 until 2009. In 2004, 975 people were afflicted.Find the linear function that models the number of people afflicted with the common cold C as a function of the years t since 2004.C(t) = 975 -551In what year will no one be afflicted? (The answer may be outside of the reasonable domain. Round your answer down to the nearest year. )Recall the slope-intercept form of a line, y = mx + b. Begin by writing a linear modeling function to represent the given scenario. Given an output value, how is the linearmodel used to find the corresponding input value?Additional MaterialsO eBook

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Answered: The number of people afflicted with the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The number of hours of video uploaded to YouTube per minute is shown in the table below. Year # of hours of video uploaded per minute 2007 6 2008 10 2009 20 2010 24 2011 48 2012 60 2013 100 Let y be the video upload rate at x years since 2005. Construct a scatterplot by hand. Is the relationship linear or exponential? Increasing or decreasing? Write an equation modeling the number of hours of video uploaded per minute if the initial number of hours is 2.6 and it increases by 59%. Use your equation to find the number of hours uploaded in 2015.
please explain
A mobile plan charges a base monthly rate of $10 for the first 500 minutes of air time plusa charge of 15¢ for each additional minute. Write a piecewise-defined linear function whichcalculates the monthly cost C (in dollars) for using m minutes of air time.
The growth rate of the speed of sound in relation to the temperature in degrees Fahrenheit is a linear function. The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every 1 degree Fahrenheit rise in temperature, the speed of sound increases by 1.1 feet per second. A. Identify the initial value of linear function that gives the speed of sound in terms of temperature. B. A 20 degree Fahrenheit rise in temperature would provide what increase in the speed of sound? C. What would the speed of sound be after a 67 degree Fahrenheit rise in temperature?
Assume that the median rent will grow linearly, and use the data in the table below to find a formula for the each of the following linear functions: - allows you to predict the median rent for all renters at any time years after 2010. - allows you to predict the median rent for recent renters at any time years after 2010
The zebra population increases at a rate of 2% per year. There are 1205 zebras this year. Write a function that models the zebra population. How many zebras will there be in 8 years?
Growth charts are often used to monitor children's health. Suppose the average weight for a 1 year old and a 30 month old are 9.6 kilograms and 13.5 kilograms, respectively. a. Find the equation that relates a child's weight (in kilograms) to age (in months), assuming that weight is a linear function of age from 1 year old. b. Provide a detailed interpretation of the slope. C. What is the estimated weight of a 3 year old child?
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.
Student Loans Data for selected years from 2011and projected to 2023 can be used to show that thebalance of federal direct student loans y, in billions ofdollars, is related to the number of years after 2010,x, by the function y = 130.7x + 699.7.a. Graph the function for x-values corresponding2010 to 2025.b. Find the value of y when x is 13.c. What does this function predict the balance offederal direct student loans will be in 2029?(Source: U.S. Office of Management and Budget)
The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of -0.6. See the figure below. Suppose that the height of the candle after 14 hours is 15.6 centimeters. What will be the height of the candle after 20 hours? Candle height (in cm) 15.6 14 Burning time (in hours) centimeters X S
The manager of a band gets paid $8000 a show, plus 5% commission on the ticket sales of x dollars. Write a linear function that represents the manager’s total pay, P (in dollars), as function of x. Part A: P(x)= Part B: What value of x will result in the manager earning $16000 for a single show? ROUND TO THE NEAREST INTEGER
A printing service charges $0.06 per page, plus a service fee of $8 per job. Part A: Write a linear function which models the cost C to print a book that has p pages. C(p)= Part B: What is the cost to print a 700 page book?

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