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)

Question

Responses

−2h≥50
negative 2 h is greater than or equal to 50

2h≤50
2 h is less than or equal to 50

−2h≤50
negative 2 h is less than or equal to 50

2h≥50
2 h is greater than or equal to 50

Answer 1

To determine how long the dehumidifier can run before it becomes full, we need to set up an inequality based on the amount of water it can hold, which is 50 quarts, and the rate at which it removes water, which is 2 quarts per hour.

Let \( h \) represent the number of hours the dehumidifier runs. Since it removes water, we can represent the total amount of water removed after \( h \) hours as \( 2h \).

The inequality showing that the amount of water removed cannot exceed the capacity of the dehumidifier (which is 50 quarts) is:

\[ 2h \leq 50 \]

This means the correct response is:

2h ≤ 50 (2h is less than or equal to 50)