   Chapter 9.7, Problem 44E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Advertising and sales An excellent film with a very small advertising budget must depend largely on word-of-mouth advertising. If attendance at the film after t weeks is given by A = 100 t ( t + 10 ) 2 what is the rate of change in attendance and what does it mean when ( a ) t = 10?  ( b ) t = 20 ?

(a)

To determine

To calculate: The rate of change in attendance A=100t(t+10)2 and determine its meaning if t=10. Where, t is the number of weeks.

Explanation

Given Information:

The sales are given as

A=100t(t+10)2

where t is the number of weeks.

Formula used:

The rate of change of a function is given by its derivative. If a function is such that it is the ratio of two differentiable functions, then its derivative is calculated by the formula,

ddx[f(x)g(x)]=g(x)f(x)f(x)g(x)(g(x))2

Calculation:

Consider the provided statement,

The sales are given as,

A=100t(t+10)2

where t is the number of weeks

(b)

To determine

To calculate: The rate of change in attendance A=100t(t+10)2 at t=20 and determine its meaning, where t is the number of weeks.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### let f(x) = x3 + 5, g(x) = x2 2, and h(x)= 2x + 4, Find the rule for each function. 1. f + g

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Given:DF-AC-inO OE=5x+4 OB=2x+19 Find:OE

Elementary Geometry For College Students, 7e

#### True or False: is a convergent series.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### True or False: is conservative.

Study Guide for Stewart's Multivariable Calculus, 8th 