The number of gallons of water, y , in a tank after x hours may be modeled by the linear equation y = 800 - 50x . Which of the following statements about the tank is true?
It is filling at a rate of 50 gallons per hour.
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It is emptying at a rate of 800 gallons per hour.
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It is emptying at a rate of 16 gallons per hour.
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It is filling at a rate of 800 gallons per hour.
It is emptying at a rate of 50 gallons per hour
it is emptying at a rate of 50 gallons per hour because, the gradient is negative.
don't you think?
-1/5x - 4 > -3
To determine the rate at which the tank is filling or emptying, we need to look at the coefficient of x in the given equation, y = 800 - 50x.
In this case, the coefficient of x is -50. A positive coefficient indicates filling, while a negative coefficient indicates emptying. Additionally, the magnitude of the coefficient represents the rate of filling or emptying.
Since the coefficient in this equation is -50, it means that the tank is emptying at a rate of 50 gallons per hour.