Problema Solution
In 1990 the life expectancy of males in a certain country was 65.2 years, in 1994 it was 65.5 years, let E represent the life expectancy in the year T and let T represent the number of years since 1990
The linear function E(t) that fits the data is
E (t)=____t+____
Use the function to predict the life expectancy of males in 2004
E (14) =_____
Answer provided by our tutors
Is the increase linear or exponential?
In either case, treat your data as two ordered pairs
(0,64.7) and (4,67.3)
If linear :
slope = .65 , y-intercept is 64.7
then E = .65t + 64.7
for 2009 , t = 19
E(19) = .65(19) + 64.7 = 77
If exponential, let
E(t) = 64.7(e)^(kt)
for (4,67.3)
67.3 = 64.7e^(4k)
1.040185 = e^(4k)
4k = ln(1.040185)
k = .00985
E(t) = 64.7e^(.00985t)
E(19) = 78