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1.1: Applying the Math of UDA

  • Page ID
    7125
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    “Will I ever use UDA in real life?” This sort of question usually pops into the heads of students in all subjects, but in math, it happens quite often. In a practical sense, UDA can be looked at as converting between currencies. If you travel to Europe for example, you will want to know how many Euros equal a dollar. Or you may want to figure out how fast you are driving, in which case you would need to convert kilometers per hour into miles per hour.

    However, in the “world” of water, converting of units is commonplace. The following few questions are written with the perspective of “real world” scenarios.

    Exercises

    A water utility manager has been asked to prepare an end of year report for the utility’s Board of Directors. The utility has 4 groundwater wells and two connections to a surface water treatment plant. Complete the table below.

    Source of Supply

    Flow Rate (gpm)

    Daily Operation (Hrs)

    Total Flow

    (MGD)

    Annual Flow

    (AFY)

    Well 1

    800

    10

    Well 2

    1,000

    8

    Well 3

    650

    16

    Well 4

    2,250

    11

    SW Pump 1

    1,750

    7

    SW Pump 2

    1,500

    9

    Using the information from the above problem, fill in the table below.

    Source of Supply

    Annual Production

    (AFY)

    Cost per AF

    ($/AF)

    Total Annual Cost ($)

    Well 1

    60

    Well 2

    60

    Well 3

    95

    Well 4

    95

    SW Pump 1

    450

    SW Pump 2

    450

    Total Annual Cost

    Connection Type

    Number of Connections

    Average usage per day per connection (gallons)

    Average Monthly Usage per Connection Type (CCF)

    Residential

    835

    Commercial

    1,370

    Industrial

    2,200


    1.1: Applying the Math of UDA is shared under a CC BY license and was authored, remixed, and/or curated by Mike Alvord.

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