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
negative 2 h is less than or equal to 50
2h≥50
2 h is greater than or equal to 50
−2h≥50
Responses
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
−2h≥50
Answers
GPT-4o mini
To find the inequality that represents how much time the dehumidifier can run before it becomes full, we need to express the total amount of water removed in terms of time (h).
Since the dehumidifier removes 2 quarts of water per hour, the amount of water removed after \( h \) hours can be represented as \( 2h \).
The dehumidifier can hold up to 50 quarts of water, so we want the amount of water removed (which is \( 2h \)) to be less than or equal to 50 quarts. Thus, we can set up the inequality:
\[ 2h \leq 50 \]
This means the correct response is:
**2h ≤ 50**
Since the dehumidifier removes 2 quarts of water per hour, the amount of water removed after \( h \) hours can be represented as \( 2h \).
The dehumidifier can hold up to 50 quarts of water, so we want the amount of water removed (which is \( 2h \)) to be less than or equal to 50 quarts. Thus, we can set up the inequality:
\[ 2h \leq 50 \]
This means the correct response is:
**2h ≤ 50**