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  • Perplex
    IB Math AIHL
    /
    Voronoi Diagrams
    /

    Problem Bank

    [Maximum mark: 4]

    Uraniumland has many nuclear power plants. In 1979, visitors of Uraniumland to a mountain wildlife preserve noticed that many animals seemed to be suffering from symptoms of radiation poisoning. As a result, the government conducted an observational study. At each site specified in the table below, they took a sample of 100 deer and recorded the number with symptoms.

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    Site

    Coordinates

    Percentage of Deer with Symptoms

    Sample A

    ​(1,1)​

    ​10%​ ​​

    Sample B

    ​(10,10)​

    ​20%​

    Sample C

    ​(6,5)​

    ​50%​

    Sample D

    ​(10,0)​

    ​11%​

    Sample E

    ​(0,10)​

    ​18%​

    Sample F

    ​(10,5)​

    ​21%​

    1. Based on the graph and the table provided, determine the nuclear facility with the leak.

      [1]

      To earn a crown, get your answer ready before you reveal the options!

    Uraniumland wants to build a city in which energy is supplied by these three nuclear plants.

    1. Determine a location that Uraniumland could build the city so that it is less than ​4.5​ units from all plants. Give the coordinates.

      [3]

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