Question

Sue removes the plug from a trough to drain the water inside. The volume, in gallons, in the trough after it has been unplugged can be modelled by 4t^2-32t+63, where t is time, in minutes

click on the correct property that will give Sue the amount of time it takes the trough to drain
A.mininum
B.maximum
C. y- intercept
D. zero

Answer 1

D. because the y value is the volume so when y=0, solve for t and that's the time it takes for the water to completely drain

Answer 2

The correct option is D.

Explanation:

It is given that the volume, in gallons, in the trough after it has been unplugged can be modelled by

`v(t)=4t^2-32t+63`

Where, t is time, in minutes.

It is a quadratic function with positive lending coefficient. It means it is an upward parabola.

The minimum value represents the minimum volume at time t.

Since it is an upward parabola, therefore it has no maximum point.

y-intercept represents the initial volume in gallons.

Zero represents the time at which the volume is 0 or the time in which trough is drained.

Therefore the correct option is D.