Question

A water cooler has a maximum capacity of 3 liters. It’s filled to 75% of its capacity, and then poured out at a rate of 20 mL/s. Which of the following expressions models the volume remaining in the jug, in liters, after t seconds?

A) 3 - (0.75 * t)
B) 3 - (0.02 * t)
C) 3 - (0.75 * t) - (0.02 * t)
D) 3 - (0.75 * t) + (0.02 * t)

Answer 1

The expression that models the volume remaining in the jug after t seconds is 3 - (0.75 * t) - (0.02 * t).

Step-by-step explanation:

The expression that models the volume remaining in the jug, in liters, after t seconds is option C) 3 - (0.75 * t) - (0.02 * t).

To understand why, we need to break down each part of the expression:

- (0.75 * t) represents the volume that was initially filled in the jug and is being poured out at a rate of 20 mL/s.

- (0.02 * t) represents the volume that is being poured out continuously at a rate of 20 mL/s.

By subtracting these two components from the maximum capacity of 3 liters, we get the expression that models the volume remaining after t seconds.