Question

A large dehumidifier removes 2 quarts of water from the air around it per hour. The dehumidifier can hold up to 50 quarts of water. Which inequality represents how much time the dehumidifier can run before it becomes full?(1 point) Responses 2h≤50 2 h is less than or equal to 50 2h≥50 2 h is greater than or equal to 50 −2h≤50 negative 2 h is less than or equal to 50 −2h≥50

Answer 1

To represent how much time the dehumidifier can run before it becomes full, we need to consider that it removes 2 quarts of water per hour. Let \( h \) be the number of hours the dehumidifier runs. The total amount of water removed after \( h \) hours is \( 2h \) quarts.

We want to know when this total amount equals or exceeds the capacity of the dehumidifier, which is 50 quarts. Thus, we want to set up the inequality:

\[
2h \leq 50
\]

This means that the total amount of water removed (2 quarts per hour) multiplied by the number of hours (h) must be less than or equal to the 50-quart capacity.

So the correct inequality is:

**\( 2h \leq 50 \)**