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IB Math AISL
/
Voronoi Diagrams
/

Problem Bank

IB Math AISL
/
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.

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]

Ask Plex AI about this problem

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[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.

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]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!