you complain that the hot tub in your hotel suite is not enough. the hotel tells you that they will increase the temperature by 10% each hour. If the temperature of the hot tub is 75%F, what will be the temperature of the hot tub after 3 hours, to the nearest tenth of a degree?

75*1.1^3

To find the temperature of the hot tub after 3 hours, we can follow these steps:

1. Determine the initial temperature of the hot tub, which is given as 75°F.
2. Calculate the temperature increase for each hour. The hotel increases the temperature by 10% each hour, so we need to find 10% of 75°F.
- 10% of 75°F = (10/100) * 75°F = 7.5°F
Therefore, the temperature will increase by 7.5°F each hour.
3. Multiply the temperature increase by the number of hours to find the total change in temperature.
- Total change in temperature after 3 hours = 7.5°F/hour * 3 hours = 22.5°F
4. Add the total change in temperature to the initial temperature to find the final temperature.
- Final temperature = Initial temperature + Total change in temperature
- Final temperature = 75°F + 22.5°F = 97.5°F

Therefore, the temperature of the hot tub after 3 hours will be approximately 97.5°F to the nearest tenth of a degree.