/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 126 Logarithmic models are well suit... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 126

Logarithmic models are well suited to phenomena in which growth is initially rapid but then begins to level off. Describe something that is changing over time that can be modeled using a logarithmic function.

Short Answer

Expert verified
A suitable example of a scenario that can be modeled using a logarithmic function is the growth of social media platforms. After a new platform is introduced, there is usually a rapid increase in users before the growth rate begins to level off as it reaches saturation within its audience demographic.

Step by step solution

01

Understand Logarithmic Function Characteristics

Understand the properties of logarithmic functions. These functions often represent situations where there is rapid initial growth, which then decreases and levels off after a certain point. The rate of change decreases as the quantity increases.
02

Identify Examples in Real Life

Think of a real-life scenario that fits this description. For example, social media platforms growth can be modeled using a logarithmic function. When a new social media platform is introduced, it may gain users rapidly at first. As more and more people join, the growth rate may start to slow down and eventually plateau, indicating that it has reached most of its potential audience.
03

Provide a Detailed Description of the Chosen Example

Expand on the example, explaining how it fits the model of a logarithmic function. This includes explaining how the rapid initial growth happens (sharp increase in users in the early days of the social media platform), followed by a gradual slowing down and eventual plateau (as the platform reaches its potential audience, the number of new users joining significantly reduces).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\frac{\log _{2} 8}{\log _{2} 4}=\frac{8}{4}$$

What question can be asked to help evaluate \(\log _{3} 81 ?\)

Without using a calculator, find the exact value of \(\log _{4}\left[\log _{3}\left(\log _{2} 8\right)\right]\).

Use the formula \(t=\frac{\ln 2}{k}\) that gives the time for a population with a growth rate \(k\) to double to solve Exercises \(35-36 .\) Express each answer to the nearest whole year. The growth model \(A=4.3 e^{0.01 t}\) describes New Zealand's population, \(A,\) in millions, \(t\) years after 2010 . a. What is New Zealand's growth rate? b. How long will it take New Zealand to double its population?

In many states, a \(17 \%\) risk of a car accident with a blood alcohol concentration of 0.08 is the lowest level for charging a motorist with driving under the influence. Do you agree with the \(17 \%\) risk as a cutoff percentage, or do you feel that the percentage should be lower or higher? Explain your answer. What blood alcohol concentration corresponds to what you believe is an appropriate percentage?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.