The temperature in a room starts at 70f and decreasing by 2f every hour due to an air conditioning unit. If the temperature need to be at most 60f within the next few hours how many house can the air conditioner run

Respuesta :

Answer:

5 hours

Step-by-step explanation:

The temperature in the room starts at 70°F and decreases by 2°F every hour due to the air conditioning unit. If the temperature needs to be at most 60°F within the next few hours, we can calculate how many hours the air conditioner needs to run by using the following steps:

1. Calculate the temperature decrease per hour: 70°F - 2°F = 68°F after the 1st hour, 68°F - 2°F = 66°F after the 2nd hour, and so on.

2. We need to find out how many hours it will take to reach 60°F or lower. Let's set up an equation: 70 - 2x = 60, where x represents the number of hours the air conditioner needs to run.

3. Solve for x: 70 - 2x = 60, 2x = 10, x = 5.

Therefore, the air conditioner needs to run for 5 hours to reach a temperature of 60°F or lower in the room.