The following table gives the number of worldwide cellphone subscribers, in billions, for selected years from 2010and projected to 2020. Complete parts (a) through (e).Year201020112012201320142015Subscribers(billions)5.396.056.647.187.638.02Year20162017201820192020Subscribers(billions)8.298.568.778.949.06a. Find a quadratic function that models the number of subscribers, Q(t), in billions, as a function of t, the number ofyears after 2010.Q(t) =(Type an equation. Type integers or decimals rounded to three decimal places for any numbers in the equation.)

We have to find a quadratic function that models the number of subscribers as a function of the…

Answered: The following table gives the number of…

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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Find a quadratic model for the data, Then use the model to predict the number of bikes sold in November. (Note represent the months as number for example: January = 1, February = 2 etc.)
Please complete in handwriting. 1.6 - 9
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)
Coal Consumption The following table gives the amount of coal (in thousand short tons) consumed by U. S. utilities to pro- duce electricity. Source: U.S. Department of Energy. Year Consumption 1995 850 2000 986 2005 1037 2010 934 2012 825 (a) Plot the data by letting t be the years since 1990. Would a linear or quadratic function model these data best? (b) Find the quadratic function defined by f(t) = a(t – h)? + k that models the data. Use the highest point as the vertex, (h, k). Then choose (10, 986) as a second point to determine a.
The following table shows fuel consumption in billions of gallons of all vehicles in the U.S. for years since 1990. Year 0 3 6 9 12 15 18 175+ 170- 165- 160- 155- 150- 145 140- Fuel Use 130.8 137.3 147.4 Let F(t) be the fuel consumption in billions of gallons in t years since 1990. A quadratic model for the data is 0.114t2 + 4.62t + 127.598. F(t) = 135- 130 1254 161.4 168.7 174.8 170.8 6 12 Use the above scatter plot to decide whether the quadratic model fits the data well. The function is a good model for the data. The function is not a good model for the data Estimate the fuel consumption in the U. S. in 2015. billions of gallons. Use the model to predict the year in which U.S. fuel consumption will peak.
The following table gives the number of worldwide cell phone subscribers, in billions, for selected years from 2010 and projected to 2020. Complete parts (a) through (e) Subscribers (billions) 5.38 601 6.63 Subscribers (billions) 834 8 55 8.74 Year Year 2016 2017 2018 2010 2011 2012 2013 2014 2015 7.19 2019 8.91 7.63 8.02 2020 9.05 a. Find a quadratic function that models the number of subscribers, QU), in billions, as a function of t, the number of years after 2010. (Type an equation. Type integers or decimals rounded to three decimal places for any numbers in the equation.) b. What does the model predict the number of subscribers will be in 2021? bilion (Type an integer or decimal rounded to three decimal places as needed) c. What does the model predict the number of subscribers will be in 2022? What do the results of parts (b) and (c) tell us? The model predicts there will be bilion cell phone subscribers in 2022 What do the results of parts (b) and (c) tell us? What does the model…

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