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. make an inequality to represent how much time the dehumidifier can run before it becomes fill
Answers
GPT-4o mini
Let \( t \) represent the time in hours that the dehumidifier runs. Since the dehumidifier removes water at a rate of 2 quarts per hour, after \( t \) hours it will remove \( 2t \) quarts of water.
The dehumidifier can hold a maximum of 50 quarts, so we want to ensure that the amount of water removed does not exceed this capacity. We can set up the inequality as follows:
\[
2t \leq 50
\]
This inequality represents the time \( t \) that the dehumidifier can run before it becomes full. To find the maximum time it can run, you can solve for \( t \):
\[
t \leq \frac{50}{2}
\]
\[
t \leq 25
\]
Thus, the dehumidifier can run for up to 25 hours before it becomes full.
The dehumidifier can hold a maximum of 50 quarts, so we want to ensure that the amount of water removed does not exceed this capacity. We can set up the inequality as follows:
\[
2t \leq 50
\]
This inequality represents the time \( t \) that the dehumidifier can run before it becomes full. To find the maximum time it can run, you can solve for \( t \):
\[
t \leq \frac{50}{2}
\]
\[
t \leq 25
\]
Thus, the dehumidifier can run for up to 25 hours before it becomes full.