The number of Americans age 65 or older can be modeled asn(x)0.00082x3 0.059x2 0.183x + 34.42where output is measured in million people and x is the number of years since 2000, projections through 2050.t(a) What is the projected number of Americans 65 years of age and older in 2011? in 2040? (Round your answers to three decimal places.)million peoplemillion people20112040(b) What is the rate of change of the projected number in 2011? in 2040? (Round your answers to three decimal places.)million people per year2011million people per year2040(c) Calculate the percentage rate of change in the projected number in 2040. (Round your answer to two decimal places.)% per year

Answered: The number of Americans age 65 or older…

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 U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
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A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050, approximately 82.3 million Americans will be at least 65. The bar graph shows the estimated number of Americans with projected figures for the year 2020 and beyond. in millions, A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over, x years after 1899. Use this information to solve (a)-(d) below. ExpReg y = a-b^x a = 3.5086444296 b = 1.022905603 W Click the icon to view the bar graph. a. Explain why an exponential function was used to model the population data. O A. An exponential function was used because exponential functions are always more accurate than linear functions. O B. An exponential function was used because population is always modeled using exponential functions. C. An exponential function was used because the data in the bar graph is increasing more and more rapidly. O D. An exponential function was used…
At 7:00am, Alicia pours a cup of tea whose temperature is 200 degrees. The tea starts to cool to a room temperature of 72 degrees. An exponential model for the temperature of the tea is y = 128(0.988)^x+ 72, where y is the temperaturex minutes after 7:00 amwill tea when its temperature x is minutws after 7:00am. Alicia will drink the tea when its temperature is 170 degrees. When can Alicia drink the tea?
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