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 need to let \( h \) be the number of hours the dehumidifier operates. The dehumidifier removes water at a rate of 1.6 pints per hour, so in \( h \) hours, it will remove \( 1.6h \) pints of water.

Since the dehumidifier can hold a maximum of 40 pints, we want to set up an inequality to show that the amount of water removed cannot exceed the maximum capacity. This gives us the inequality:

\[ 1.6h \leq 40 \]

Thus, the correct option is:

Option #2: 1.6h ≤ 40