Pretend the program in Senegal had been reducing infant mortality at a rate of 12.5 % per year. How long would it take for infant mortality to be reduced by 38 %?

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To calculate the time it would take for infant mortality to be reduced by 38% with a reduction rate of 12.5% per year, we can use the concept of exponential decay. Here's how you can calculate it step by step:

1. Calculate the number of years it would take to achieve a 38% reduction in infant mortality by dividing the desired reduction rate (38%) by the annual reduction rate (12.5%):
38% / 12.5% = 3.04

2. The result of the calculation in step 1 represents the number of years it would take to achieve a 38% reduction, considering a constant annual reduction rate.

3. Since we can't have a fraction of a year, we'll round up to the nearest whole number. In this case, it will take approximately 4 years to achieve a 38% reduction in infant mortality with a reduction rate of 12.5% per year.

So, it would take approximately 4 years for infant mortality to be reduced by 38% in Senegal if the program continues to reduce the mortality rate at a rate of 12.5% per year.