A large dehumidifier removes 1.6 pints of water from the air around it per hour. The dehumidifier can hold up to 40 pints of water. Which option number represents the inequality that shows how much time the dehumidifier can run before it becomes full?
Option #1: −1.6h≤40
Option #2: 1.6h≤40
Option #3: 1.6h≥40
Option #4: −1.6h≥40
To determine the inequality that represents how much time the dehumidifier can run before it becomes full, we need to consider the rate at which it removes water and its water-holding capacity.
Given that the dehumidifier removes 1.6 pints of water per hour, the equation that represents the amount of water removed in 'h' hours would be 1.6 * h.
The inequality should express that the amount of water removed in 'h' hours is less than or equal to the dehumidifier's water-holding capacity of 40 pints.
Combining these relationships, the inequality becomes:
1.6 * h ≤ 40
Therefore, Option #2: 1.6h ≤ 40 represents the inequality that shows how much time the dehumidifier can run before it becomes full.