Question

(1 point) 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 7.3 % per year. How long will it take for infant mortality to be reduced by 33 %

Answer 1

Answer:

Infant mortality will reduce to 33% in 1.63 years

Step-by-step explanation:

Let the population be X

Population after 1 year

$X - 7.3$ % of $X$

$X -0.073 X\\0.927X$

As we know

$P = P_0 * e^{rt}$

Substituting the given values we get -

$\frac{P_0 - 0.33P_0}{P_0} = e^{-0.33 * t}\\0.67 = e^{-0.33 * t}$

Taking log on both sides we get -

$-0.20273 = -0.33 * t\\t = 1.627$