SOLUTION: a plumber charges $51 for 2 hours of work and $74.25 for 3/1/2 hours work. write an equation relating cost to number of hours worked

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Question 664755: a plumber charges $51 for 2 hours of work and $74.25 for 3/1/2 hours work. write an equation relating cost to number of hours worked
Found 2 solutions by lynnlo, MathTherapy:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
($51*2h)($74.25*3 1/2h)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

a plumber charges $51 for 2 hours of work and $74.25 for 3/1/2 hours work. write an equation relating cost to number of hours worked

Let the time (in hours) be x, and the dollar amount, y

We then have 2 points: (2, 51) and (3.5, 74.25)

Using these 2 points, along with the slope formula, we get m, or slope = 15.5

Using the slope, and the point (2, 51) in the point-slope formula: y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29, we get:

y+-+51+=+15.5%28x+-+2%29 ----- y+-+51+=+15.5x+-+31 ----- y+=+15.5x+%2B+20 ------ highlight_green%28C%28x%29+=+15.5x+%2B+20%29

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