SOLUTION: In 1994, the life expectancy of males in a certain country was 69.6 years. In 1998, it was 73.0 years. Let E represent the life expectancy in year t and let t represent the number

Question 197358: In 1994, the life expectancy of males in a certain country was 69.6 years. In 1998, it was 73.0 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994.
E(t)=_t+_
Use the function to predict the life expectancy of males in 2008

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In 1994, the life expectancy of males in a certain country was 69.6 years.
In 1998, it was 73.0 years. Let E represent the life expectancy in year t
and let t represent the number of years since 1994.
:
Find the slope
In 1994; x1=0 and y1=69.6
In 1998; x2=4 and y2=73
:
Find the slope (m) using the slope equation: m =
m = = = .85
:
Use the point/slope formula to write the equation; y - y1 = m(x - x1)
y - 69.6 = .85(x - 0)
y = .85x + 69.6
:
therefore:
The Linear function E(t) that fits the data is.
E(t)= .85t + 69.6
:
Use the Function to predict the life expectancy of males in 2008.
This means t=14; substitute 14 for t in the equation
E(14)= .85(14) + 69.6
E(14)= 11.9 + 69.6
E(14)= 81.5 yrs is the life expectancy in 2008

RELATED QUESTIONS
I need help with a word problem. In 1994, the life expectancy of males in a certain... (answered by ewatrrr)

In 1992, the life expectancy of males in a certain country was 71.6 years. In 1998, it... (answered by jim_thompson5910)

In 1993, the life expectancy of males in a certain country was 61.9 years. In 2000, it... (answered by stanbon)

In 1994, the life expectancy of males in a certain country was 69.6 years. In 2001, it... (answered by stanbon)

Can someone please help me with this question? In 1994, the life expectancy of males... (answered by Tatiana_Stebko)

in 1994, the life expectancy of males in a certain country was 62.6 years. In 2001, it... (answered by josmiceli)

this is a tough one! In 1994 the life expectancy of males in a certain country was 63.5... (answered by richard1234)

In 1994, the life expectancy of males in a certain country was 65.9 years. In 1999, it... (answered by josmiceli)

In 1992, the life expectancy of males in a certain country was 66.4 years. In 1996, it... (answered by stanbon)