SOLUTION: In 1995, the life expectancy of males in a certain county was 69.5 years. In 1999, it ws 72.1 years. Let E represent the life expectancy in year t and let t represent the number of

Algebra ->  Linear-equations -> SOLUTION: In 1995, the life expectancy of males in a certain county was 69.5 years. In 1999, it ws 72.1 years. Let E represent the life expectancy in year t and let t represent the number of      Log On


   

Question 174205: In 1995, the life expectancy of males in a certain county was 69.5 years. In 1999, it ws 72.1 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995.
The Linear function E(t) that fits the data is.
E(t)=______ t + ______
Use the Function to predict the life expectancy of males in 2005.
E(10)=
Round to the nearest tenth.
(I don't understand word problems all that well can someone help me solve this?)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In 1995, the life expectancy of males in a certain county was 69.5 years.
In 1999, it was 72.1 years. Let E represent the life expectancy in year t
and let t represent the number of years since 1995.
:
Find the slope
In 1995; x1=0 and y1=69.5
In 1999; x2=4 and y2=72.1
:
Find the slope (m) using the slope equation: m = %28y2-y1%29%2F%28x2-x1%29
m = %2872.1-69.5%29%2F%284+-+0%29%29 = %282.6%29%2F%284%29 = .65
therefore:
The Linear function E(t) that fits the data is.
E(t)= .65t + 69.5
:
Use the Function to predict the life expectancy of males in 2005.
This means t=10; substitute 10 for t in the equation
E(10)= .65(10) + 69.5
E(10)= 6.5 + 69.5
E(10)= 76.0 yrs is the life expectancy in 2005
Round to the nearest tenth.