Part 1:

Use the table of Usage Charges for a single-family residential customer and the Monthly Service Charge for a 5/8 inch meter to create a piecewise-defined function for the total charge as a function of number of Ccfs used, for up to 15 Ccfs. (You can ignore the Other Charges.) Make sure to define your variables and use proper mathematical notation.

Part 2:

Graph this function. Make sure to use an appropriate window, label your axes and scale, and label any important points.

Part 3:

What would be the total charge for using 10 Ccfs of water?

Monthly Service Charge Flat rate paid by customer, regardless of the amount of water used. Meter Size 5/8 inch * 3/4 inch Rates $16.33 ** $22.03 $33.42 1 inch 1-1/2 inch $61.91 2 inch $96.09 Usage Charges Per 100 cubic feet (Ccf) (1 Ccf = 748 Gallons) Charge per Ccf Customer Class / Charge Categories Residential Block Rates Single Family 1-7 Ccf $2.07 8-15 Ccf $3.82 16 - 30 Cof $8.39 Over 30 Ccf $12.93