The following table shows the number of cell phone subscriptions in a country in billions for selected years x after 2005.200520061.520099.30.4Xy20074.320087.5(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 2012.20109.9(a) Select the correct choice below and fill in the answer boxes within your choice.(Round to two decimal places as needed.)OA. The best model for the data is a logarithmic function and is given by f(x) =OB. The best model for the data is a logistic function and is given by f(x) =OC. The best model for the data is an exponential function and is given by f(x) =Inx.DexSILE

The regression is performed to fit a dataset into a function of the form: y=f(x). A graphing utility…

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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1. An adult takes 400 mg of ibuprofen. The amount of ibuprofen in the person's system decreases by about 29% every 30 minutes. a. Construct a function that will show the amount of ibuprofen in the person's system after a certain number of hours. b. Show the graph of the function using Desmos. Include the graph of the asymptote/s. c. How much ibuprofen is left after 6 hours?
Propose a formula for the function.
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)
The following table shows the number of cell phone subscriptions in a country in billions for selected years x after 2005. 2005 2006 1.3 0.3 x y 2007 4.0 2008 7.5 2009 9.2 (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. 2010 9.8 (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) = (*. (x OC. 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. +
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.
The following graph shows the website traffic for the online bookstore OHaganBooks.com in hundreds of hits per day from 2010 to 2015. OHagan Books 7 6. 1 3 4 Years Since 2010 t W(4)= 3. (1)M Daily Website Traffic (Hundreds)
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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