the number of gallons of water,y,after x hours maybe modeled by the linear equation y=800-50x. Which of the following statements is true, a.it is filling at a rate of 800 gallons per hour/b.it is filling at a rate of 50 gallons per hour/c.it is emptying at a rate of 16 gallons per hour/d.it is emptying at a rate of 50 gallons per hour/f.it is emptying at a rate of 800 gallons per hour.
A water tank empties at a rate of 28 gallons in 4 hours. At this rate, how many gallons are emptied each hour?
To determine the rate at which the water is either filling or emptying, we need to examine the coefficient of the term that represents time, which is -50x in this case. The coefficient tells us how the dependent variable (in this case, gallons of water) changes with respect to the independent variable (time, x).
In the given equation, y = 800 - 50x, we see that the coefficient is -50. Since the coefficient is negative, it suggests that the water is emptying rather than filling.
Now let's determine the rate at which the water is emptying. The absolute value of the coefficient (-50) tells us the magnitude of the rate of change. Therefore, the water is emptying at 50 gallons per hour.
So, the correct statement is:
d. It is emptying at a rate of 50 gallons per hour.