SOLUTION: Sam did 4 loads of laundry and it cost her $9. She did 6 loads of laundry and it coat her $13.50. Assume a linear relationship exists between the cost and the number of loads of la

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Sam did 4 loads of laundry and it cost her $9. She did 6 loads of laundry and it coat her $13.50. Assume a linear relationship exists between the cost and the number of loads of la      Log On

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Question 559826: Sam did 4 loads of laundry and it cost her $9. She did 6 loads of laundry and it coat her $13.50. Assume a linear relationship exists between the cost and the number of loads of laundry. How much will Sam pay for 5 loads of laundry?
Thank You for the help.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot Cost on the vertical axis
Plot Loads on the horizontal axis
Use the point-slope formula to get the equation
+%28+C+-+9+%29+%2F+%28+L+-+4+%29+=+%28+13.5+-+9+%29+%2F+%28+6+-+4+%29+
+%28+C+-+9+%29+%2F+%28+L+-+4+%29+=+4.5+%2F+2+
Multiply both sides by +2%2A%28+L+-+4+%29+
+2%2A%28+C+-+9+%29+=+4.5%2A%28+L+-+4+%29+
+2C+-+18+=+4.5L+-+18+
+2C+=+4.5L+
+C+=+2.25L+
For 5 loads of laundry,
+C+=+2.25%2A5+
+C+=+11.25+
He pays $11.25 for 5 loads