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?

Question

Option #1: −1.6h≤40

Option #2: 1.6h≤40

Option #3: 1.6h≥40

Option #4: −1.6h≥40

(1 point)
Option #
represents how long the dehumidifier can run before it becomes full.

Answer 1

To find the inequality that represents how long the dehumidifier can run before it becomes full, we can let \( h \) represent the number of hours the dehumidifier runs. The dehumidifier removes 1.6 pints of water per hour, and we want to determine when the total amount of water removed (which is \( 1.6h \)) is less than or equal to its capacity of 40 pints.

So, the inequality that represents this situation is:

\[ 1.6h \leq 40 \]

Therefore, the correct option number that represents this inequality is:

Option #2: 1.6h ≤ 40.