In a village, the cases of a particular infectious

disease have been exponentially decreasing at

a rate of 90% per year since the people started

receiving the vaccine. If there were 100 cases

in the village to start with, predict the number

of cases after 3 years.

First, complete the equation:

Remaining Amount = 100 (1 - 0.90) 3

Now solve.

Remaining Amount = [? ] cases

Question

Mathematics

Colin Hendricks

16 January, 13:26

In a village, the cases of a particular infectious

disease have been exponentially decreasing at

a rate of 90% per year since the people started

receiving the vaccine. If there were 100 cases

in the village to start with, predict the number

of cases after 3 years.

First, complete the equation:

Remaining Amount = 100 (1 - 0.90) 3

Now solve.

Remaining Amount = [? ] cases

+5

Answers (1)

Know the Answer?

Jaylen Kemp · Answer 1

0

Step-by-step explanation:

We assume that "complete the equation" means evaluate the difference:

remaining amount = 100 (0.1^3)

remaining amount = 100 (0.001) = 0.1 ≈ 0

Something like "cases" is usually expected to be an integer, so we expect the solution will need to be rounded to the nearest integer. The calculated value of 0.1 is nearest to the integer 0.

The predicted number of cases after 3 years is 0.