SOLUTION: You determine that if you drive your car 300 miles in a month it costs you $366, and it will cost you $510 if you drive your car 1500 mile a month. What is the cost for the month i

Question 948712: You determine that if you drive your car 300 miles in a month it costs you $366, and it will cost you $510 if you drive your car 1500 mile a month. What is the cost for the month if you drive 1000miles?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You determine that if you drive your car 300 miles in a month it costs you $366, and it will cost you $510 if you drive your car 1500 mile a month. What is the cost for the month if you drive 1000miles?
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You have 2 points relating cost and distance:: (300,366) and (1500,510)
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slope = (510-366)/(1500-300) = 0.12
Form:: c(x) = mx+b
solve for "b"::
510 = 0.12*1500 + b
b = 330
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Equation:: c(x) = 0.12x + 330
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Solution:
c(1000) = 0.12*1000 + 330
c(1000) = 120 + 330 = 450
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Cheers,
Stan H.
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