SOLUTION: Age at first marriage. The median age at first marriage for females increased from 24.5 years in 1995 to 25.1 years in 2000 (U.S. Census Bureau, www.census.gov). Let 1995 be yea

Algebra ->  Graphs -> SOLUTION: Age at first marriage. The median age at first marriage for females increased from 24.5 years in 1995 to 25.1 years in 2000 (U.S. Census Bureau, www.census.gov). Let 1995 be yea      Log On


   



Question 176348: Age at first marriage. The median age at first marriage for
females increased from 24.5 years in 1995 to 25.1 years in
2000 (U.S. Census Bureau, www.census.gov). Let 1995 be
year 5 and 2000 be year 10.
a) Find the equation of the line through (5, 24.5) and
(10, 25.1).
b) What do x and y represent in your equation?
c) Interpret the slope of this line.
d) In what year will the median age be 30?
e) Graph the equation.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Age at first marriage. The median age at first marriage for
females increased from 24.5 years in 1995 to 25.1 years in
2000 (U.S. Census Bureau, www.census.gov). Let 1995 be
year 5 and 2000 be year 10.
;
a) Find the equation of the line through (5, 24.5) and
(10, 25.1).
find the slope (m); %2825.1-24.5%29%2F%2810-5%29 = .6%2F5 .12
point/slope equation:
y - 24.5 = .12(x - 5)
y - 24.5 = .12x - .6
y = .12x - .6 + 24.5
y = .12x + 23.9
;
b) What do x and y represent in your equation?
x = year, y = age of marriage
;
c) Interpret the slope of this line.
you should be able do this
;
d) In what year will the median age be 30?
.12x + 23.9 = 30
.12x = 30 - 23.9
.12x = 6.1
x = 6.1%2F.12
x = 50.83 ~ 51 yrs which would be about 2041 (1990 is yr 0)
:
e) Graph the equation. graph y = .12x + 23.9
+graph%28+300%2C+200%2C+-20%2C+60%2C+-10%2C+35%2C+.12x%2B23.9%29+