question archive In this module you have learned about exponential growth and decay
In this module you have learned about exponential growth and decay
Subject:MathPrice: Bought3
In this module you have learned about exponential growth and decay. These types of models can be used for situations in which the increase or decrease in a population becomes more rapid as time passes. On paper, any population can grow or decay exponentially forever, but in the world outside the mathematics classroom there are often restrictions that cause the growth or decay to slow as time passes. This type of growth or decay is referred to logistic.
Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially. The growth from 2009 through 2015 can be modeled using the function where t is the number of years since 2009 and is measured in millions of smartphones.
Use this information and your knowledge of exponential and logistic growth to explore the mathematical concepts in the questions below.
1. Create a graph of the function and explain the meaning of the y-intercept in terms of the number of smartphones being shipping to stores.
2. Explain a way you could calculate exactly when smartphone manufacturers were shipping 500 million smartphones to stores around the world.
3. Use your plan from question 2 to find when smartphone manufacturers were shipping 750 million smartphones to stores around the world. If you are solving algebraically, explain which properties of logarithms you used and why.
