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Question 554883: The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF) The cost for using 28 HCF of water is 39.49, and the cost for using 47 HCF is 65.14. What is the cost for using 32 HCF of water?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)
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The cost for using 28 HCF of water is 39.49, and the cost for using 47 HCF is 65.14.
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You have 2 points: (28,39.49) and (47,65.14)
slope = (65.14-39.49)/(47-28) = 1.35
y = mx+b
39.49 = 1.35*28 + b
b = 1.69
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Equation:
C(x) = 1.35x + 1.69
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What is the cost for using 32 HCF of water?
C(32) = 1.35*32 + 1.69
C(32) = $44.89
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Cheers,
Stan H.
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