Question 53362This question is from textbook University of phoenix elementary and intermediate algebra
: THE MEDIAN AT FIRST FOR FEMALES INCREASED FROM 24.5 YEARS IN 1995 TO 25.1 YEARS IN 2000. 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 YOU REQUATION?
C. INTERPRET THE SLOP OF THIS LINE.
D. IN WHAT YEAR WILL THE MEDIAN AGE BE 30.
E. GRAPH THE EQUATION
This question is from textbook University of phoenix elementary and intermediate algebra
Answer by funmath(2933)   (Show Source):
You can put this solution on YOUR website! a) To find an equation of a line you need a point (x,y) and a slope (m).
We can find the slope (m) if we have two points (x1,y1) and (x2,y2). I don't have the ability to make subscripts, but the formula should be in your text:
The slope formula:
(x1,y1)=(5,24.5)
(x2,y2)=(10,25.1)
m=.12
Now that we have a slope m=.12 and a point (x1,y1)=(5,24.5), we can use the point-slope formula to find the equation of the line.
The point-slope formula:
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b)x represents the year after 1990
y represents the median age of females
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c) the slope represents the rate of increase of median ages of females per year. In our case there appears to be a .12 or 12% increase of the median age per year.
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d) let y=30
x= about 51 years
1990+51=2041
The median age should be 30 in the year 2041.
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c) Plot (5,24.5) and (10,25.1)
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