Question

Sales Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function $$S(t)=100-100 t^{-1}$$ where $t$ represents time in years. Find the rate of change of sales for the following numbers of years. a. 1 b. 10

Name: Problem 55, Chapter 12: Finite Mathematics and Calculus with Applications
Uploaded: 2020-05-02T05:05:53-08:00
Duration: 38 s
Channel: Amy Jiang
Description: Sales Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function S(t)=100-100 t^-1 where t represents time in years. Find the rate of change of sales for the following numbers of years. a. 1 b. 10

   Sales Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function
$$S(t)=100-100 t^{-1}$$
where $t$ represents time in years. Find the rate of change of sales for the following numbers of years.
a. 1
b. 10

Finite Mathematics and Calculus with Applications

Margaret L. Lial,… 9th Edition

Chapter 12, Problem 55

Instant Answer

Solved by Expert Amy Jiang

05/02/2020

Step 1

The derivative of a function gives us the rate of change of the function. Show more…

Show all steps

Thanks for your feedback!

Sales Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function $$S(t)=100-100 t^{-1}$$ where $t$ represents time in years. Find the rate of change of sales for the following numbers of years. a. 1 b. 10

Play audio

Feedback

Amy Jiang and 71 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Rates of Change

The rate of change measures how one quantity changes relative to another, often time. In calculus, it is represented by the derivative, which gives the instantaneous change of a function at any given point.

Differentiation

Differentiation is the process of finding the derivative of a function, which mathematically quantifies its rate of change. It is fundamental in analyzing how functions vary in response to changes in their input values.

Power Rule

The power rule is a basic differentiation technique used for functions of the form t^n. It states that the derivative of t^n is n*t^(n-1), and is essential for calculating the derivatives of polynomial and rational functions.

Please give Ace some feedback