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?
A) −2h ≥ 50
B) 2h ≥ 50
C) 2h ≤ 50
D) −2h ≤ 50
A) −2h ≥ 50
B) 2h ≥ 50
C) 2h ≤ 50
D) −2h ≤ 50
Answers
GPT-4o mini
To determine how long the dehumidifier can run before it becomes full, we can set up the inequality based on the information provided.
The dehumidifier removes 2 quarts of water per hour (let's denote the time in hours as \( h \)), so after \( h \) hours, it will have removed \( 2h \) quarts of water. The dehumidifier can hold a maximum of 50 quarts, so we want to find the time \( h \) such that the amount of water removed (\( 2h \)) does not exceed the maximum capacity (50 quarts).
This gives us the inequality:
\[ 2h \leq 50 \]
So, the correct answer is:
**C) \( 2h \leq 50 \)**
The dehumidifier removes 2 quarts of water per hour (let's denote the time in hours as \( h \)), so after \( h \) hours, it will have removed \( 2h \) quarts of water. The dehumidifier can hold a maximum of 50 quarts, so we want to find the time \( h \) such that the amount of water removed (\( 2h \)) does not exceed the maximum capacity (50 quarts).
This gives us the inequality:
\[ 2h \leq 50 \]
So, the correct answer is:
**C) \( 2h \leq 50 \)**