SOLUTION: An electrician charges one customer $260 for 4 hours. He charges another customer $150 for 2 hours. How much does he charge for his service fee,x, and his hourly charge, y, to his

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An electrician charges one customer $260 for 4 hours. He charges another customer $150 for 2 hours. How much does he charge for his service fee,x, and his hourly charge, y, to his       Log On


   

Question 1068324: An electrician charges one customer $260 for 4 hours. He charges another customer $150 for 2 hours. How much does he charge for his service fee,x, and his hourly charge, y, to his customers? Please show your work.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x for hours
y for charges
-
Points (x,y) are (2,150) and (4,260). Find the equation for the line containing the two points.


m=%28260-150%29%2F%284-2%29=110%2F2=55;
y-150=55%28x-2%29-----this is using point-slope form of linear equation.
y=55%28x-2%29%2B150
y=55x-110%2B150
highlight%28y=55x%2B40%29-----equation now in slope-intercept form

Fixed fee is $40 and rate of pay in addition to the fee is $55 per hour.


NOTE: I used variables differently than you specified.
m, slope, the hourly rate
y, the total charges
x, the number of hours worked
b, the fixed fee
Form being y=mx+b