A program in Senegal has been reducing infant mortality at a rate
of 11.1% per year. How long will it take for infant mortality
to be reduced by 33%?
.67=(1-.111)^t
log .67= t(log.889)
t=? use your calculator
To calculate how long it will take for infant mortality to be reduced by 33% in Senegal, we can use the formula:
Number of years = (Log(final mortality rate) - Log(initial mortality rate)) / Log(1 + annual rate of reduction)
Let's plug in the values given in the question:
Initial mortality rate reduction per year = 11.1%
Annual rate of reduction = 11.1% = 0.111
Desired reduction = 33%
We need to convert the reduction percentages to decimal form:
Initial mortality rate reduction per year = 0.111
Desired reduction = 0.33
Now, let's calculate the number of years it will take:
Number of years = (Log(1 - 0.33) - Log(1)) / Log(1 + 0.111)
= (Log(0.67) - Log(1)) / Log(1.111)
Using a calculator, we can solve this equation:
Number of years ≈ (–0.183 - 0) / 0.047
Number of years ≈ 3.894
Therefore, it will take approximately 3.894 years for infant mortality to be reduced by 33% in Senegal.