Question 146076: The % of workers receiving direct deposit of their paychecks went from 32% in 1994 to 60% in 2004. Let 1994 be year 0 and 2004 be year 10.
Write equation of the line through (0,32) and (10,60) to model the growth of direct deposit
Use equation to predict the year in which 100% of all workers will receive direct deposit
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! (0,32) (10,60)
first we find the slope (y2-y1)/(x2-x1)
(60-32)/(10-0)
28/10=2.8 is the slope.
now replace one set of (x,y) values in the line equation (Y=mX+b) & solve for b.
32=2.8*0+b
b=32 for the y intercept.
tghus the line equation is:
y=2.8x+32
100=2.8x+32
2.8x=100-32
2.8x=68
x=68/2.8
x=24.2857 or 1994+24.2857=2018 Is the year when 100% are projected to be direct depositing.
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