Answer :
To solve this problem, we need to calculate the decrease in the room's temperature after the air conditioner has been running for a certain time.
Initially, the temperature of the room is [tex]45^\circ C[/tex]. The air conditioner cools the room by [tex]4^\circ C[/tex] per minute.
We need to determine the temperature after the air conditioner runs for 6 minutes. Here's how we can do it step-by-step:
Calculate the total decrease in temperature.
The air conditioner decreases the temperature by [tex]4^\circ C[/tex] each minute.
In 6 minutes, the decrease is:
[tex]\text{Total decrease} = 6 \times 4 = 24^\circ C[/tex]
Determine the temperature after 6 minutes.
Subtract the total decrease from the initial temperature:
[tex]\text{Final temperature} = 45^\circ C - 24^\circ C = 21^\circ C[/tex]
Therefore, after running the air conditioner for 6 minutes, the temperature of the room will be [tex]21^\circ C[/tex].
