The following table shows the number of cell phone subscriptions in a country in billions for selected years x after 2005.200520061.30.3xy20074.020087.520099.2(a) Find a function C(x) that models the data, where x is years after 2005.(b) Predict the number of cell phone subscriptions in 2012.20109.8(a) Select the correct choice below and fill in the answer boxes within your choice.(Round to two decimal places as needed.)In x.O A. The best model for the data is a logarithmic function and is given by f(x) =OB. The best model for the data is an exponential function and is given by f(x) = (*.(xOC. The best model for the data is a logistic function and is given by f(x) =1+(b) In the year 2012, the number of cell phone subscriptions will be about(Round to two decimal places as needed.)billion.+

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Answered: The following table shows 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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The following table shows the average yearly tuition and required fees, in dollars, charged by four-year American private universities in the school year beginning in the given year. Date Average tuition 2012 $27,870 2013 $29,004 2014 $30,138 2015 $31,272 2016 $32,406 (a) Show that these data can be modeled by a linear function. For each change of 1 year in time there is an increase of $ in tuition. Find its formula. (Let d be the date in terms of number of years since 2012 and T tuition in dollars.) T(d) = 27,870+1134d (b) Plot the data points and add the graph of the linear formula you found in part (a). (c) What prediction does this formula give for average tuition and fees at four-year American private universities for the academic year ending in 2018?$
8. The population of a town is 12,500 and decreases by 6% each year. Write a function to use to predict the yearly decrease. Predict the population after 4 years. Use the table to show the year-to-year decrease. f(x) = Year Population 12,500 1 3 4 5 2.
The linearization of a function works best when it is used to approximate a function, meaning behaviour and value, close to the point of tangency. A. True B. False
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)
2. Suppose someone says that the price of a share of Google stock is a function of time. Translate this into our careful way of defining functions.
Find a formula for each function graphed in Exercises 29. а. b. (1, 1) 2 30. а. b. 2 0 30 (2, 1) 2 (2, – 1) 3 2.
The consumption function captures one of the key relationships in economics. It expresses consumption as a function of disposal income, where disposable income is income after taxes. The attached file “Quiz_dataset2” shows data of average US annual consumption (in $) and disposable income (in $) for the years 2000 to 2016. What is the predicted consumption if the disposable income is $30,000? Select one: a. 2365.7 b. None of the above c. 32645.9 d. 2365.6
Simmorns, Renlya Dan noticed that it was harder for him to make a basket later in the game when he was tired. Josephine, the team statistician, calculated Dan's percentage of shots made over the previous4 games in ten minute intervals in order to track his stamina. Time (min) Percentage of Shots Made 10 60 20 45 30 33.75 40 25.3125 Josephine wants to create a function to model the data. What type of function should she use? O Linear O Quadratic O Exponential O None of these INTL OO 920 1O

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