The engineers use a piecewise linear function to calculate the monthly water charge for its residents. The piecewise linear function, where, C=the cost of the water l = the number of thousands of litres of water 51 +20, 0≤1≤5 C == 91, 5<<10 100 - 10, 1 > 10
The engineers use a piecewise linear function to calculate the monthly water charge for its residents. The piecewise linear function, where, C=the cost of the water l = the number of thousands of litres of water 51 +20, 0≤1≤5 C == 91, 5<<10 100 - 10, 1 > 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Ensure to show your steps of calculations, formula and provide clear
a. Sketch the graph of the function from l=0 to l=13 to show the relationship
between the litres used and the cost of water.
Note: Use appropriate labelling and units.
b. Use your graph to determine the monthly water charge if a consumer used,
i. 3500L
ii. 9000L
iii. 12,500L
c. Find the equations of each line segment of the graph.
![The engineers use a piecewise linear function to calculate the monthly water charge for its
residents. The piecewise linear function, where,
C=the cost of the water
l = the number of thousands of litres of water
51 +20,
0≤1≤5
C ==
91,
5<<10
100 - 10,
1 > 10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe39f55b4-d255-4931-ba08-06b9a66e568d%2Fa2f5cb90-a08b-4ecc-aadc-edd24fa2c793%2F4d11io8h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The engineers use a piecewise linear function to calculate the monthly water charge for its
residents. The piecewise linear function, where,
C=the cost of the water
l = the number of thousands of litres of water
51 +20,
0≤1≤5
C ==
91,
5<<10
100 - 10,
1 > 10
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