You complain that the hot tub in your hotel suite is not enough. The hotel tells they will increase the temperature by 10% each hour. If the current temperature of the hot tub is 75 degrees Fahrenheit, what will be the temperature of the hot tub after three hours to the nearest tenth of a degree?
temp after 3 hrs
= 75(1.1)^3 = ...
Questions and answer
To find the temperature of the hot tub after three hours, we need to calculate the increase in temperature over each hour and then add it to the starting temperature.
Step 1: Calculate the increase in temperature for one hour:
10% of 75 degrees = 0.1 * 75 = 7.5 degrees
Step 2: Calculate the temperature after one hour:
75 degrees + 7.5 degrees = 82.5 degrees
Step 3: Calculate the increase in temperature for the second hour:
10% of 82.5 degrees = 0.1 * 82.5 = 8.25 degrees
Step 4: Calculate the temperature after two hours:
82.5 degrees + 8.25 degrees = 90.75 degrees
Step 5: Calculate the increase in temperature for the third hour:
10% of 90.75 degrees = 0.1 * 90.75 = 9.075 degrees
Step 6: Calculate the temperature after three hours:
90.75 degrees + 9.075 degrees = 99.825 degrees
Therefore, the temperature of the hot tub after three hours will be approximately 99.8 degrees Fahrenheit to the nearest tenth of a degree.
To find the temperature of the hot tub after three hours, we need to calculate the temperature increase by 10% for each hour and then add it to the current temperature.
First, let's find the increase in temperature for one hour. To do this, we multiply the current temperature (75 degrees Fahrenheit) by 10% (0.1).
Increase in temperature for one hour = 75 * 0.1 = 7.5 degrees Fahrenheit.
Now, to find the temperature after three hours, we multiply the increase in temperature for one hour by three.
Temperature increase after three hours = 7.5 * 3 = 22.5 degrees Fahrenheit.
Finally, we add the temperature increase to the current temperature to get the final temperature after three hours.
Temperature after three hours = 75 + 22.5 = 97.5 degrees Fahrenheit.
Therefore, the temperature of the hot tub after three hours will be approximately 97.5 degrees Fahrenheit to the nearest tenth of a degree.