Exponential Modeling Practice Problem 1. According to ipod.about.com, there were 33.418 million iPads sold in 2011. In 2012 there were 77.022 million iPads sold. a. Write an exponential function that models the number of iPad sales (in millions) since 2011. Call this function P(t). Round the base to the nearest thousandth. b. According to P(t), what is the annual decay rate in the number of iPad sales? c. According to the graph of P ( t ), in which year will iPad sales reach 160 million? Explain how you obtained your answer. ar d. According to P(t), if the trend continues, how many iPads will be sold in 2018? Show your work and round to the nearest whole number. e. How accurate do you think your model is? Consider the current population of the US when answering this question. Explain your reasoning if you think this trend will continue. If not, explain your reasons for why you think it will change. Math 141 -Algebra with Applications

Exponential Modeling Practice Problem 1. According to ipod.about.com, there were 33.418 million iPads sold in 2011. In 2012 there were 77.022 million iPads sold. a. Write an exponential function that models the number of iPad sales (in millions) since 2011. Call this function P(t). Round the base to the nearest thousandth. b. According to P(t), what is the annual decay rate in the number of iPad sales? c. According to the graph of P ( t ), in which year will iPad sales reach 160 million? Explain how you obtained your answer. ar d. According to P(t), if the trend continues, how many iPads will be sold in 2018? Show your work and round to the nearest whole number. e. How accurate do you think your model is? Consider the current population of the US when answering this question. Explain your reasoning if you think this trend will continue. If not, explain your reasons for why you think it will change. Math 141 -Algebra with Applications

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Exponential Modeling Practice Problem
1. According to ipod.about.com, there were 33.418 million iPads sold in 2011. In 2012 there were
77.022 million iPads sold.
a. Write an exponential function that models the number of iPad sales (in millions) since 2011. Call
this function P(t). Round the base to the nearest thousandth.
b. According to
P(t), what is the annual decay rate in the number of iPad sales?
c. According to the graph of P ( t ), in which year will iPad sales reach 160 million? Explain how
you obtained your answer.
ar
d. According to P(t), if the trend continues, how many iPads will be sold in 2018? Show your work
and round to the nearest whole number.
e. How accurate do you think your model is? Consider the current population of the US when
answering this question. Explain your reasoning if you think this trend will continue. If not,
explain your reasons for why you think it will change.
Math 141 -Algebra with Applications

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