Question

Which equation could represent the volume of water in cubic meters after t minutes of water being pumped out?

1) v = 30 - 3t
2) v = 30 - 2.5t
3) v = 30 - 1.5t
4) v = 30 - 0.5t

Answer 1

The equation that represents the volume of water in cubic meters after t minutes of water being pumped out is v = 30 - 1.5t.

Step-by-step explanation:

The equation that represents the volume of water in cubic meters after t minutes of water being pumped out is:

• v = 30 - 1.5t

This equation is derived from the given information that after t minutes, the volume of water decreases at a constant rate. The coefficient of t (-1.5) represents the rate at which the volume decreases. As time increases, the volume of water decreases by 1.5 cubic meters each minute.