Question

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

Answer 1

To set up the inequality that represents how much time the dehumidifier can run before it becomes full, we start by letting \( h \) represent the number of hours the dehumidifier runs.

The dehumidifier removes 1.6 pints of water per hour, so after \( h \) hours, the total amount of water removed will be \( 1.6h \). The dehumidifier can hold up to 40 pints of water, which means we want the amount removed to be less than or equal to 40 pints.

Thus, the inequality can be formulated as:

\[ 1.6h \leq 40 \]

This corresponds to Option #2: 1.6h ≤ 40.

So, the correct option representing how long the dehumidifier can run before it becomes full is Option #2.