The piecewise function for the above table can be shown as: 95 110 150 160 220 f(x)=240 360 480 720 960 1200 1,001 ≤ x ≤ 1,500 1,501 ≤x≤ 2,000 2,001 ≤ x ≤ 2,500 2,501 ≤ x ≤ 3,000 3,001 ≤x≤ 5,000 5,001 ≤x≤ 10, 000 10, 001 ≤x≤ 15, 000 15,001 ≤x≤ 20, 000 20,001 ≤ x ≤ 30,000 30,001 ≤ x ≤ 40,000 40,001 ≤ x ≤ 50,000 Here, f (x) shows the rate of money (in PHP) that must be paid by a customer after sending x amount of money. Now, we need to create a word problem regarding a customer who wants to send certain amount of money foe a relative and provide its solution based on the piecewise function. Problem: Virat wants to send a sum of 23,000.00 to his cousin Rohit . What should be the rate of the money that Rohit recieves?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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The piecewise function for the above table can be shown as:
95
110
150
160
220
f(x) = 240
360
10, 001 ≤ x ≤ 15, 000
480
15, 001 ≤ x ≤ 20, 000
720
20, 001 ≤ x ≤ 30, 000
960
30,001 ≤ x ≤ 40,000
1200 40,001 ≤ x ≤ 50,000
1,001 ≤ x ≤ 1,500
1,501 ≤ x ≤ 2,000
2,001 ≤ x ≤ 2,500
2,501 ≤ x ≤ 3,000
3,001 ≤ x ≤ 5,000
5,001 ≤ x ≤ 10, 000
Here, f (x) shows the rate of money (in PHP) that must be paid by a
customer after sending x amount of money.
Now, we need to create a word problem regarding a customer who
wants to send certain
amount of money foe a relative and provide its solution based on the
piecewise function.
Problem: Virat wants to send a sum of 23,000.00 to his cousin Rohit
. What should be the rate of the
money that Rohit recieves?
Solution Here, x = 23,000
From the piecewise function f(x), we can see that for 20, 001 < x
< 30,000 , f (x) = PHP 720
= f (23,000) = PHP 720
Thus, Rohit recieves PHP 720.00 from Virat
Transcribed Image Text:The piecewise function for the above table can be shown as: 95 110 150 160 220 f(x) = 240 360 10, 001 ≤ x ≤ 15, 000 480 15, 001 ≤ x ≤ 20, 000 720 20, 001 ≤ x ≤ 30, 000 960 30,001 ≤ x ≤ 40,000 1200 40,001 ≤ x ≤ 50,000 1,001 ≤ x ≤ 1,500 1,501 ≤ x ≤ 2,000 2,001 ≤ x ≤ 2,500 2,501 ≤ x ≤ 3,000 3,001 ≤ x ≤ 5,000 5,001 ≤ x ≤ 10, 000 Here, f (x) shows the rate of money (in PHP) that must be paid by a customer after sending x amount of money. Now, we need to create a word problem regarding a customer who wants to send certain amount of money foe a relative and provide its solution based on the piecewise function. Problem: Virat wants to send a sum of 23,000.00 to his cousin Rohit . What should be the rate of the money that Rohit recieves? Solution Here, x = 23,000 From the piecewise function f(x), we can see that for 20, 001 < x < 30,000 , f (x) = PHP 720 = f (23,000) = PHP 720 Thus, Rohit recieves PHP 720.00 from Virat
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