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 less than or equal to 50

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

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

2h≤50
2 h is less than or equal to 50

Answer 1

To represent how much time the dehumidifier can run before it becomes full, we start by recognizing that the dehumidifier removes water at a rate of 2 quarts per hour. If \( h \) represents the time in hours that the dehumidifier runs, the amount of water removed can be calculated as \( 2h \) quarts.

We want to find out when the dehumidifier reaches its maximum capacity of 50 quarts. So, we can set up the inequality:

\[ 2h \leq 50 \]

This means the amount of water removed (2h) must be less than or equal to the maximum capacity (50 quarts).

Thus, the correct inequality is:

2h ≤ 50.