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Question 388522: 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 stanbon(75887)   (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).
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slope = (24.5-25.1)/(5-10) = 0.12
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Form: y = mx+b
Using x=5,y=24.5 and m=24.38, solve for "b":
y-intercept:
24.5 = 0.12*5+b
b = 23.9
Equation:
y = 0.12x+23.9
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b) What do x and y represent in your equation?
x is the number of years after 1990
y is the median age at 1st marriage.
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c) Interpret the slope of this line.
For each additional year after 1990 the median age rises 0.12 years.
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d) In what year will the median age be 30?
Solve: 30 = 0.12x +23.9
0.12x = 6.1
x = 50.83
You can figure out the year.
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Cheers,
Stan H.
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