Question 172851
Use the point-slope form of a line to write the equation.

The slope m = (60-32)/(10-0) = 28/20 = 2.8

The point-slope formula is y-32 = 2.8*(x-0) = 2.8*x

y= 2.8*x + 32

Using the graph, the predicted year in which, 100% of the workers will receive their paychecks via direct deposit is 26.

Using the equation, y = 2.8*x + 32 to make the prediction, solve the equation
100 = 2.8*x + 32 for x
 100-32 = 2.8*x
  68 = 2.8*x
   x = 68/2.8
   x = 24.3 years from 1994 = 2018.3 


{{{graph(300,300,-40,70,-20,120,2.8*x+32)}}}