SOLUTION: In 1993, the life expectancy of males in a certain country was 66.3 years. In 1997, it was 69.6 years. Let E represent the life expectancy in year t and let t represent the number

Algebra ->  Functions -> SOLUTION: In 1993, the life expectancy of males in a certain country was 66.3 years. In 1997, it was 69.6 years. Let E represent the life expectancy in year t and let t represent the number       Log On


   

Question 239224: In 1993, the life expectancy of males in a certain country was 66.3 years. In 1997, it was 69.6 years. Let E represent the life expectancy in year t and let t represent the number of years since 1993.
The linear function E(t) that fits this data is?
E(t)=_t+_
Use the function to predict the life expectancy of males in 2004.
E(11)=_
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In 1993, the life expectancy of males in a certain country was 66.3 years. In 1997, it was 69.6 years. Let E represent the life expectancy in year t and let t represent the number of years since 1993.
The linear function E(t) that fits this data is
E(t)=_t+_
:
Find the slope
In 1993; t1=0 and E1=66,3
In 1997; t2=4 and E2=69.6
:
Find the slope (m) using the slope equation: m = %28E2-E1%29%2F%28t2-t1%29
m = %2869.6-66.3%29%2F%284+-+0%29%29 = %283.3%29%2F%284%29 = .825
therefore:
The Linear function E(t) that fits the data is.
E(t)= .825t + 66.3
:
Use the Function to predict the life expectancy of males in 2004.
This means t=11; substitute 11 for t in the equation
:
E(11)= .825(11) + 66.3
E(11)= 9.075 + 66.3
E(11)= 75.4 yrs is the life expectancy in 2004
Rounded to the nearest tenth.