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The amount of gasoline remaining in a speedboat is modeled by the equation y = 200 - 40x, where x is the...

The amount of gasoline remaining in a speedboat is modeled by the equation y = 200 - 40x, where x is the number of miles and y is the gas remaining in gallons. Based on this equation, how much gasoline will be in the tank after a 400-mile trip?

Answer

To find the amount of gasoline remaining after a 400-mile trip, substitute x = 400 into the equation y = 200 - 40x:

y = 200 - 40(400)

y = 200 - 16000

y = -15800

Since a negative amount of gasoline doesn't make sense, it indicates that the trip cannot be completed with the initial amount of gasoline.

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