Quick Algebra Help.

[Delamos]

Was trying to help my sister with her math homework, but its been so long since I've done this stuff that I am kinda stuck. Any help would be appreciated.
1. In 1995, the life expectancy of males in a certain country was 64.8 years. In 2001, it was 67.5 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995
1. The linear function E(t) that fits the data is
E(t)=(?)t+(?)

2.In 1920 the record for a certain race was 45.8 secs. In 1930, it was 45.6 sec. Let R(t)= the record in the race and t=the number of years since 1920.
a)Find a Linear Function that fits the data.
b)Use the function in (a) to predict the record in 2003 and in 2006
c) Find the year when the record will be 44.06 sec.

3.The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001.
a) Use the data points to find a linear function that fits the data.
b) Use the function to predict the average salary in 2005 and 2010.

4. Write an equation of the line containing the given point and perpendictular to the given line.
(5,-7); 7x+2y=3
a) The equation of the line is y=?

5.Write an equation of the line containing the given point and perpendictular to the given line.
(5,9); 4x+y=3
a) The equation of the line is y=?

6.Write an equation of the line containing the given point and perpendictular to the given line.
(-7,9);6x= 7y+3
a) The equation of the line is y=?

7.Write an equation of the line containing the given point and perpendictular to the given line.
(2,9); x+7y=8
a) The equation of the line is y=?

 

[Deleted member 4993]

Was trying to help my sister with her math homework, but its been so long since I've done this stuff that I am kinda stuck. Any help would be appreciated.
1. In 1995, the life expectancy of males in a certain country was 64.8 years. In 2001, it was 67.5 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995
1. The linear function E(t) that fits the data is
E(t)=(?)t+(?)

Equation of a line going through (t[sub:1b6wktsa]1[/sub:1b6wktsa],E[sub:1b6wktsa]1[/sub:1b6wktsa]) and (t[sub:1b6wktsa]2[/sub:1b6wktsa],E[sub:1b6wktsa]2[/sub:1b6wktsa]) is:

\(\displaystyle \frac{E - E_1}{E_2 - E_1} \ = \ \frac{t - t_1}{t_2 - t_1}\)

2.In 1920 the record for a certain race was 45.8 secs. In 1930, it was 45.6 sec. Let R(t)= the record in the race and t=the number of years since 1920.
a)Find a Linear Function that fits the data.
b)Use the function in (a) to predict the record in 2003 and in 2006
c) Find the year when the record will be 44.06 sec.

3.The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001.
a) Use the data points to find a linear function that fits the data.
b) Use the function to predict the average salary in 2005 and 2010.

4. Write an equation of the line containing the given point and perpendictular to the given line.
(5,-7); 7x+2y=3
a) The equation of the line is y=?

5.Write an equation of the line containing the given point and perpendictular to the given line.
(5,9); 4x+y=3
a) The equation of the line is y=?

6.Write an equation of the line containing the given point and perpendictular to the given line.
(-7,9);6x= 7y+3
a) The equation of the line is y=?

7.Write an equation of the line containing the given point and perpendictular to the given line.
(2,9); x+7y=8
a) The equation of the line is y=?

Please letyour sister show us her work, idicating exactly where she is stuck - so that we may know where to begin to help her.