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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 82.4 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. A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over, y, in millions, x years after 1899. Use this information to solve (a) (d) below. Click the icon to view the bar graph. ExpReg y = a-b^x a 3.4628168204 b = 1.023026701 a. Explain why an exponential function was used to model the population data. OA. An exponential function was used because exponential functions are always more accurate than linear functions. 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. OD. An exponential function was used because there are too many data points to use a linear function. h Ilea the nranhinn calculator screen to evnress the model in function notation with numhare munded to three decimal

A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050, approximately 82.4 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. A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over, y, in millions, x years after 1899. Use this information to solve (a) (d) below. Click the icon to view the bar graph. ExpReg y = a-b^x a 3.4628168204 b = 1.023026701 a. Explain why an exponential function was used to model the population data. OA. An exponential function was used because exponential functions are always more accurate than linear functions. 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. OD. An exponential function was used because there are too many data points to use a linear function. h Ilea the nranhinn calculator screen to evnress the model in function notation with numhare munded to three decimal

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 82.4 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. A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over, y, in millions, x years after 1899. Use this information to solve (a) (d) below. Click the icon to view the bar graph. ExpReg y = a-b^x a 3.4628168204 b = 1.023026701 a. Explain why an exponential function was used to model the population data. OA. An exponential function was used because exponential functions are always more accurate than linear functions. 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. OD. An exponential function was used because there are too many data points to use a linear function. h Ilee the nranhing calculator screen to evnress the model in function notation with numbers munded to three decimal
Transcribed Image Text:A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050, approximately 82.4 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. A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over, y, in millions, x years after 1899. Use this information to solve (a) (d) below. Click the icon to view the bar graph. ExpReg y = a-b^x a 3.4628168204 b = 1.023026701 a. Explain why an exponential function was used to model the population data. OA. An exponential function was used because exponential functions are always more accurate than linear functions. 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. OD. An exponential function was used because there are too many data points to use a linear function. h Ilee the nranhing calculator screen to evnress the model in function notation with numbers munded to three decimal
projected figures for the year 2020 and beyond. b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to three decimal places. f(x)=[ c. According to the model in part (b), how many Americans age 65 and over were there in 2010? Use a graphing calculator. million (Type an integer or a decimal rounded to one decimal place as needed.) Does this rounded number overestimate or underestimate the 2010 population displayed by the bar graph? By how much? Choose the correct answer below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to one decimal place as needed.) OA. The rounded number underestimates the 2010 population by B. The rounded number overestimates the 2010 population by million. million. aan Ot and thin 30000
Transcribed Image Text:projected figures for the year 2020 and beyond. b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to three decimal places. f(x)=[ c. According to the model in part (b), how many Americans age 65 and over were there in 2010? Use a graphing calculator. million (Type an integer or a decimal rounded to one decimal place as needed.) Does this rounded number overestimate or underestimate the 2010 population displayed by the bar graph? By how much? Choose the correct answer below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to one decimal place as needed.) OA. The rounded number underestimates the 2010 population by B. The rounded number overestimates the 2010 population by million. million. aan Ot and thin 30000
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