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.

Question

GPT-4o mini · Answer

To find the correct inequality that represents how long the dehumidifier can run before it becomes full, let's define the variables:

Let \( h \) be the number of hours the dehumidifier runs.
The dehumidifier removes 1.6 pints of water from the air for each hour it runs.
It can hold up to 40 pints of water.

So, after \( h \) hours, the total amount of water removed by the dehumidifier would be \( 1.6h \) pints.

We want to find out when this amount is less than or equal to the full capacity of the dehumidifier, which is 40 pints. Therefore, the inequality we want is:

\[ 1.6h \leq 40 \]

This matches with Option #2.

So, the answer is Option #2: 1.6h ≤ 40.