Question

If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x inches, give a practical interpretation of (V^−1)(20).

1) The volume of the water in the tank, in cubic inches, after 20 minutes.
2) The volume of the water in the tank, in cubic inches, when the height is 20 inches.
3) The height of the water in the tank is 20 inches.
4) The height of the water in the tank, in inches, when the volume is 20 cubic inches.
5)The volume of the water in the tank is 20 cubic inches.

Answer 1

V(x) = the volume of water, in³, as a function of the height, x, in.

Therefore by definition,
V⁻¹ (x) represents the height as a function of volume.

The expression V⁻¹ (20) represents the height of the water in inches when the volume is 20 cubic inches.

Answer: 4)
The height of the water n the tank, in inches, when the volume is 20 cubic inches.