SOLUTION: The cost (in dollars) of g gallons of gasoline and be modeled by C(g) = 2.25g. The gasoline used by an SUV can be modeled by g(d) = 0.025d where d is the distance (in miles). Find

Question 671373: The cost (in dollars) of g gallons of gasoline and be modeled by C(g) = 2.25g. The gasoline used by an SUV can be modeled by g(d) = 0.025d where d is the distance (in miles). Find C(g(d)). Evaluate C(g(500)). What does C(g((500)) represent?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The cost (in dollars) of g gallons of gasoline and be modeled by C(g) = 2.25g. The gasoline used by an SUV can be modeled by g(d) = 0.025d where d is the distance (in miles).
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Find C(g(d)) = C[0.025d] = 2.25*0.025d = 0.05625d
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Evaluate C(g(500)) = C[0.025*500] = C[12.5] = 2.25*12.5 = 28.125
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What does C(g((500)) represent?
g(500) is the amt. of gasoline in gallons needed by an SUV to travel 500 miles.
Then C(12.5) = 2.25*12.5 = 28.125 is the cost in dollars for that 12.5
gallons of gasoline.
So C(g(500)) is the cost in dollars for an SUV to go 500 miles.
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Cheers,
Stan H.
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