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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An economist is studying the median yearly income of workers by their ages. Age (yr) 18 28 38 48 58 68 Median Income ($) 17,480 30,650 37,440 41,230 37,570 21,390 a. What function best models the data (linear, quadratic, exponential)? b. Write a function that models the data. c. Use your model to predit the median income for a worker who is 43 years old. Round to the nearest dollar.
A nationa! census is mandated by the Constitution of Pakistan to be held every ten years. After the independence of Pakistan in 1947, the first census took place in 1951. Figure 1 reflects the increase in population of Pakistan during last four nationa! census. The increase between 1972 and 2017 could be approximated by a linear function. If in 1972 the popuiation was 65.309 million and as per the census data of 2017 the popuiation was 207.774 million; a) Determine the estimation function P = f (t), where P equais the popuiation of Pakistan and t equals time measured in years since 1972. b) Interpret the slope and P intercept c) According to this function, what wii be the estimated popuiation of Pakistan in 2027 census? Census Data 250000000 200000000 150000000 100000000 50000000 1972 1981 1998 2017 Census Year Census Data Population (approx)
The Cloud World IT cloud services revenues from2009 and projected to 2015 are shown in the table.a. Create a scatter plot for the data with y equal tothe billions of dollars of revenue and x equal to thenumber of years after 2000.b. Use the scatter plot to determine whether the datacan be fit exactly by a linear function.
Should this table be graphed as linear,quadratic or exponential?
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.

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