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------------------------------------------------ An air conditioner cools a room by 4°C/min. If the temperature of the room is 45°C before switching on the air conditioner, find the temperature of the room after switching on the air conditioner for 6 minutes.

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:

  1. 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]

  2. 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].

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