SOLUTION: A plumber charges a fixed rate plus an hourly rate to do house calls. A 2hour job cost $64 and a 9 hour job cost $155. Write a linear equation giving the total charges, y, in te

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A plumber charges a fixed rate plus an hourly rate to do house calls. A 2hour job cost $64 and a 9 hour job cost $155. Write a linear equation giving the total charges, y, in te      Log On


   



Question 958283: A plumber charges a fixed rate plus an hourly rate to do house calls. A 2hour job cost $64 and a 9 hour job cost $155.
Write a linear equation giving the total charges, y, in terms of number of hours x.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
f=fixed fee; r=hourly rate
$155=f+9r
$64=f+2r Subtract this from above
$91=7r
$13=r The hourly rate is $13
$64=f+2r
$64=f+2($13)
$64=f+$26 Subtract $26 from each side
$38=f The fixed fee is $38
Equation for Total charges (y) in terms of number of hours(x):
y=$13x+$38