Temperature decreases approximately 1degree Celsius for each 150 metres increase in altitude.
1. The temp at sea level is 25 degree Celsius
A.) what will the temp be 1200m up the mountain?
B.) what will it be at the top? (2250m)
2. The temp at the top of the mountain is 0degrees celciius.
A.) what will the temp be at 1200m and at 2250 m
This is so confusing to me, please help!
Of course, I'll be happy to help you understand this problem!
To solve these questions, we need to use the information that temperature decreases approximately 1 degree Celsius for each 150 meters increase in altitude.
For the first question, let's calculate the temperature at 1200 meters and at the top (2250 meters):
A.) To find the temperature at 1200 meters, we need to determine how many 150-meter increments are in 1200 meters. We can do this by dividing 1200 by 150:
1200 meters / 150 meters = 8 increments
Since each increment is associated with a temperature decrease of 1 degree Celsius, we can multiply the number of increments by the temperature decrease to find the total decrease in temperature:
8 increments * 1 degree Celsius/increment = 8 degrees Celsius
Now, to find the temperature at 1200 meters, we subtract the total decrease in temperature from the initial temperature of 25 degrees Celsius:
Temperature at 1200 meters = 25 degrees Celsius - 8 degrees Celsius = 17 degrees Celsius
B.) Applying the same logic, we can determine the temperature at the top (2250 meters). To find the number of increments, we divide 2250 by 150:
2250 meters / 150 meters = 15 increments
Multiplying the number of increments by the temperature decrease gives us the total temperature decrease:
15 increments * 1 degree Celsius/increment = 15 degrees Celsius
Finally, we subtract the total decrease from the initial temperature of 25 degrees Celsius to find the temperature at the top:
Temperature at the top = 25 degrees Celsius - 15 degrees Celsius = 10 degrees Celsius
Now, for the second question:
A.) Given that the temperature at the top is 0 degrees Celsius, we can use the same method as before to find the temperature at 1200 meters. Using the formula, we still have 8 increments, so the total decrease will be:
8 increments * 1 degree Celsius/increment = 8 degrees Celsius
Therefore, the temperature at 1200 meters will be 0 degrees Celsius - 8 degrees Celsius = -8 degrees Celsius.
B.) For the temperature at 2250 meters, we again use the same approach. With 15 increments, the total temperature decrease is:
15 increments * 1 degree Celsius/increment = 15 degrees Celsius
Hence, the temperature at 2250 meters will be 0 degrees Celsius - 15 degrees Celsius = -15 degrees Celsius.
I hope this clarifies the problem for you! Feel free to ask any further questions.