Explanation Given information: Assume that the number N of concert tickets that can be sold at a price of P dollars per ticket is a linear function N ( P ) for 10 ≤ P ≤ 40 . Calculation: “Translate” into familiar x, y notation, and translate back into N and P natation. x = P ( price per ticket ) y = N ( P ) ( number of tickets sold ) . Given two points (40, 0) and (10,500), let us calculate the slope. m = 500 − 0 10 − 40 = − 50 3 Using the point-slope form , find the line equation. Here, ( a , b ) = ( 40 , 0 ) , m = − 50 3 y − 0 = − 50 3 ( x − 40 ) y = − 50 3 x + 2000 3 Calculate y ( x ) − y ( x + 5 )

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 1.2, Problem 26E

To determine

To find:

N(P), if N(10)=500 and N(40)=0. Also findthe decrease ΔN in the number of tickets sold if the price is increased by ΔP=5 dollars.

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Chapter 1.2, Problem 25E

Chapter 1.2, Problem 27E

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Chapter 1 Solutions

Calculus - Standalone book

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N ( P ) , if N ( 10 ) = 500 and N ( 40 ) = 0 . Also findthe decrease Δ N in the number of tickets sold if the price is increased by Δ P = 5 dollars.

Solution Summary: The author explains how to calculate the slope for the number of concert tickets sold at a price of P dollars.

Concept explainers

Videos

To find:

N(P), if N(10)=500 and N(40)=0. Also findthe decrease ΔN in the number of tickets sold if the price is increased by ΔP=5 dollars.

Want to see the full answer?

Chapter 1 Solutions

N ( P ) , if N ( 10 ) = 500 and N ( 40 ) = 0 . Also findthe decrease Δ N in the number of tickets sold if the price is increased by Δ P = 5 dollars.

Solution Summary: The author explains how to calculate the slope for the number of concert tickets sold at a price of P dollars.

Concept explainers

Videos

To find: N(P), if N(10)=500 and N(40)=0. Also findthe decrease ΔN in the number of tickets sold if the price is increased by ΔP=5 dollars.

Want to see the full answer?

Chapter 1 Solutions

To find:

N(P), if N(10)=500 and N(40)=0. Also findthe decrease ΔN in the number of tickets sold if the price is increased by ΔP=5 dollars.