In a village, the cases of a particular infectious disease have been exponentially decreasing at a rate of 80% per year since the people started receiving the vaccine. If there were 200 cases in the village to start with, predict the number of cases after 2 years.

Question

Sydney Horton

Mathematics

30 April, 04:20

In a village, the cases of a particular infectious disease have been exponentially decreasing at a rate of 80% per year since the people started receiving the vaccine. If there were 200 cases in the village to start with, predict the number of cases after 2 years.

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Answers (1)

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Kymani Harrington · Answer 1

8

Step-by-step explanation:

Exponential decay is expressed by an equation of the form:

A = P (1 - r) ^t

where P = initial value, r = annual rate of decay, t = time in years

A = 200 (1 - 0.80) ^2

A = 8