SOLUTION: the percentage of sexual harassment charges filed by men has increased approximately linearly from 9.8% in 1995 to 16.5 percent in 2002. Let P be the percentage of Sexual Harassmen

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Question 1039099: the percentage of sexual harassment charges filed by men has increased approximately linearly from 9.8% in 1995 to 16.5 percent in 2002. Let P be the percentage of Sexual Harassment charges filed by men at T years.
Find an equation of a linear model to describe the data.___

Found 2 solutions by stanbon, Boreal:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
the percentage of sexual harassment charges filed by men has increased approximately linearly from 9.8% in 1995 to 16.5 percent in 2002. Let P be the percentage of Sexual Harassment charges filed by men at T years.
Find an equation of a linear model to describe the data.___
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Let "x" be the number of years after 1995
You have two points:: (0,9.8%) and (7,16.5%)
slope = (16.5-9.8)/7 = 0.957
intercept:: f(0) = 9.8
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Form:: y = mx + b
f(x) = 0.957x + 9.8
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Cheers,
Stan H.
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Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
1995=0 year (x); 9.8% (y)
2002=7 year (x), 16.5% (y)
slope is change in y over change in x=6.7/7
point slope formula
y-9.8=(6.7/7)*x
y=(6/7/7)x +9.8; 6.7/7=0.957; y=9.57x+9.8
check with other point
y-16.5=(0.957)(x-7)
y-16.5=0.957x-6.70
y=0.957x+9.8, where x is the years after 1995 or year-1995 and y is the per cent of charges

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