SOLUTION: In 1990 the percentage of children living with two parents was 72.5 and in 2002 it was 68.7 (a.) Assuming that the decrease was linear, write and equation relating the percentag

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Question 109031: In 1990 the percentage of children living with two parents was 72.5 and in 2002 it was 68.7
(a.) Assuming that the decrease was linear, write and equation relating the percentage y and the year x, with 1980 corresponding to x=0.
(b.) Graph the equation for the years 1990-2010.
(c.) Estimate the precentage of children living in two parent families in 2010.
****My delima, I cannot figure out how to write an equation (letter a) for this problem. My next question is to solve letter b and graph the equation for the other the years will I have to create a different equation for each given year?
THanks so much for all you guys do your help is wonderful and greatly appreciated!!!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In 1990 the percentage of children living with two parents was 72.5 and in 2002 it was 68.7
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(a.) Assuming that the decrease was linear, write and equation relating the percentage y and the year x, with 1980 corresponding to x=0.
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You have two points relating year and percentage: (10,72.5) & (22,68.7)
slope = [68.7-72.5]/[2002-1990] = -3.8/12= -1.9/6
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72.5 = (-1.9/6)(10)+b
b = 72.5+3.166667
b = 75.666667
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EQUATION:
y = (-1.9/6)x + 75.666667
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(b.) Graph the equation for the years 1990-2010.
graph%28400%2C300%2C-10%2C30%2C-10%2C80%2C%28-1.9%2F6%29x%2B75.6666667%29
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(c.) Estimate the precentage of children living in two parent families in 2010.
y = (-1.9/6)(30) + 75.66666667
y = 66.17%
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Cheers,
Stan H.