SOLUTION: Can you please help me with this story problem that I am struggling with. In 1991 the life expectancy of males in a certain country was 63.2 years. In 1996 it was 65.7 years. Le

Question 330783: Can you please help me with this story problem that I am struggling with.
In 1991 the life expectancy of males in a certain country was 63.2 years. In 1996 it was 65.7 years. Let E represent the life expectancy in year t, and let t represent the number of years since 1991.
The linear function E(t) that fits the data is E(t)=___t + ___.
Use the function to predict the life expectancy of males in 2006.
E(15)= ___ round to the nearest tenth.
Thank you so much for helping me.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In 1991 the life expectancy of males in a certain country was 63.2 years.
In 1996 it was 65.7 years.
:
Find the slope
In 1991; x1=0 and y1=63.2
In 1996; x2=5 and y2=65.7
:
Find the slope (m) using the slope equation: m =
m = = = .5
:
Use the point/slope formula to write the equation; y - y1 = m(x - x1)
y - 63.2 = .5(x - 0)
y = .5x + 63.2
:
Let E represent the life expectancy in year t, and let t represent the number of years since 1991.
E(t) = .5t + 63.2, The linear function E(t) that fits the data
:
Use the function to predict the life expectancy of males in 2006.
E(15)= .5(15) + 63.2 round to the nearest tenth.
E(15) = 7.5 + 63.2
E(15) = 70.7 life expectancy in 2006
RELATED QUESTIONS
I have asked for help on this story problem before however I have never heard back so I... (answered by vleith)

This problem with linear functions is getting me confused, can you help me please? I... (answered by stanbon)

Please help! I have this story problem: In 1991, the life expectancy for males in a... (answered by rwm)

In 1991, the life expectancy of males in a certain country was 68.5 years. In 1996 it was (answered by oscargut)

Can someone help me, I am having trouble with this word problem In 1990, the life... (answered by stanbon)

I have this story problem: In 1991, the life expectancy for males in a certain country... (answered by stanbon)

I can not figure this out. Please help me, I just can not get word problems correct.... (answered by stanbon)

This problem is one of my biggest problems that I do not no how to figure out will... (answered by stanbon)

I just found this website and I hope someone can help me with a real problem, problem.... (answered by user_dude2008,RAY100)