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Question 5

An environmental science team is monitoring the concentration of a tracer dye (measured in parts per billion, ppb) in a section of a river following an industrial discharge experiment. The dye concentration is recorded over a 12-hour monitoring period for several groups of tracking sensors.

The results for sensors in Group A show:

  • From hour 2 to hour 6, the dye concentration remains constant at 8 ppb8\text{ ppb}8 ppb.
  • From hour 6 to hour 12, the dye concentration increases at a constant rate from 8 ppb8\text{ ppb}8 ppb to 68 ppb68\text{ ppb}68 ppb.

The graph below represents these results:

Tracer Dye Concentration Over Time

a.

The total exposure to the dye over time can be estimated by calculating the area under the curve (AUC). Calculate the approximate area under the curve for Group A between hour 2 and hour 12. (Ignore units in your calculation.)

[3]
b.

The total area under the curve for Group B is calculated to be 400. Calculate the area under the curve for Group A as a proportion of the area under the curve for Group B.

[2]

Analysis Questions

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