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

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.