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Question 26

The resistance of three different clones (X, Y, and Z) of cassava, Manihot esculenta, to cassava mosaic virus was investigated by measuring the percentage of leaf area with visible symptoms of infection over an 80-day period.

The results for clone Z show:

  • From day 20 to day 50, the percentage of leaf area showing infection remains constant at 6%.
  • From day 50 to day 80, the percentage of leaf area showing infection increases at a constant rate from 6% to 56%.

The graph below represents these results:

Disease progression in Cassava Clones

a.

The extent of infection over time can be estimated by calculating the area under the curve (AUC). Calculate the approximate area under the curve for clone Z between day 20 and day 80. (Ignore units in your calculation.)

[3]
b.

The total area under the curve for clone Y is calculated to be 1500. Calculate the area under the curve for clone Z as a proportion of the area under the curve for clone Y.

[2]

Analysis Questions

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