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 the number of thousands of litres of water 51 +20, 0≤1≤5 91, 5<<10 101-10, > 10 4) a. Sketch the graph of the function from 1-0 to 1-13 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. (2×3 6 marks)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 87CR
Question
4. Ensure complete steps of calculations and formula
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
the number of thousands of litres of water
51 +20,
0≤1≤5
91,
5<<10
101-10,
> 10
4)
a. Sketch the graph of the function from 1-0 to 1-13 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
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 the number of thousands of litres of water 51 +20, 0≤1≤5 91, 5<<10 101-10, > 10 4) a. Sketch the graph of the function from 1-0 to 1-13 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.
(2×3 6 marks)
Transcribed Image Text:ii. 9000L iii. 12,500L c. Find the equations of each line segment of the graph. (2×3 6 marks)
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