An innovative rural public health program is reducing infant mortality in a certain West African country. Pretend the program in Senegal has been reducing infant mortality at a rate 8.7 % per year. How long will it take for infant mortality to be reduced by 40 %?
To calculate how long it will take for infant mortality to be reduced by 40% in Senegal, we need to determine the number of years required for the reduction.
Here's how we can do it step by step:
1. Calculate the rate of reduction in infant mortality per year: 8.7%.
2. Calculate the total reduction needed: 40%.
3. Divide the total reduction needed by the annual reduction rate to find the number of years required.
Let's apply these steps to find the answer:
1. Annual reduction rate: 8.7%
2. Total reduction needed: 40%
To find the number of years required:
Number of years = Total reduction needed / Annual reduction rate
Number of years = 40 / 8.7
Calculating this:
Number of years ≈ 4.60 years
Therefore, it will take approximately 4.60 years for infant mortality to be reduced by 40% in Senegal.
1.087^x = 1.40
x = ln(1.4) / ln(1.087)