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 · Accepted Answer

To determine how long the dehumidifier can run before it becomes full, we can set up the inequality based on the amount of water it removes per hour (1.6 pints) and its maximum capacity (40 pints).

Let \( h \) represent the number of hours the dehumidifier runs. The total amount of water removed after \( h \) hours is \( 1.6h \) pints. We want this amount to be less than or equal to the maximum capacity of the dehumidifier, which is 40 pints. Therefore, the inequality can be written as:

\[ 1.6h \leq 40 \]

This matches with Option #2: \( 1.6h \leq 40 \).

So the correct option is Option #2.