logo for solving-math-problems.com
leftimage for solving-math-problems.com

Case-Defined Function to represent price










































Chong travel agent is having a FLIGHT TICKET SALES PROMOTION.

… The price of a ticket is RM 1800.

Volume Discounts are available:

… If you purchase less than 3 tickets, no discount is given.

… If you purchase between 3 and 8 tickets, you will get a 10% discount.

… If you purchase more than 8 tickets, a 15% discount.


Construct a case-defined function to represent the price of buying n tickets.


Comments for Case-Defined Function to represent price

Click here to add your own comments

Jul 25, 2012
Case-Defined Function to represent price
by: Staff


The answer:

n = number of tickets purchased

n is a natural number

f(n) = cost per ticket


A Case-Defined Function often contains discontinuities. This is no exception.


… If you purchase less than 3 tickets, no discount is given.

f(n) = 1800 if 0 < n < 3


… If you purchase between 3 and 8 tickets, you will get a 10% discount.

1620 = 1800 - 10%

f(n) = 1620 if 3 ≤ n ≤ 8


… If you purchase more than 8 tickets, a 15% discount.

1530 = 1800 - 15%

f(n) = 1530 if 8 < n


>>> the final answer:

f(n) = 1800 if 0 < n < 3
f(n) = 1620 if 3 ≤ n ≤ 8
f(n) = 1530 if 8 < n

or

f(n) = 1800, domain 0 < n < 3
f(n) = 1620, domain 3 ≤ n ≤ 8
f(n) = 1530, domain 8 < n


You will usually see this function is written like this:


Open the following link to view.


(1) If your browser is Firefox, click the following link; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page

http://www.solving-math-problems.com/images/case-defined-function-tickets.png




Thanks for writing.

Staff
www.solving-math-problems.com

Jul 26, 2012
WHY
by: Anonymous

why the answer no need write n?

Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com