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
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 the amount of water it can remove and its capacity.

The dehumidifier removes 2 quarts of water per hour, so in \( h \) hours, it will remove \( 2h \) quarts of water. Since the dehumidifier can hold up to 50 quarts of water, we want to set up the inequality: \[ 2h \leq 50 \]

This inequality indicates that the amount of water removed (2 quarts per hour for \( h \) hours) must be less than or equal to the maximum capacity of the dehumidifier (50 quarts).

Thus, the correct inequality is: 2h ≤ 50