Use symbolic Math symbolic representation:
1. You learn that for every 1,000 meters you rise in the atmosphere, the temperature drops by 6C. You have the idea that if you know the temperature at the base of a mountian and its height, you can figure out the temperature at the top fo the mountain.
Right. Do you have that data?
Thanks. I just could not figure out the mathematical representation to illustrate the above.
Let's denote the temperature at the base of the mountain as T(base) and the height of the mountain as H. We are given the information that for every 1,000 meters of altitude increase, the temperature drops by 6 degrees Celsius.
To find the temperature at the top of the mountain, we need to determine how many 1,000-meter intervals are present in the height of the mountain. We can do this by dividing the height H by 1,000 and rounding it down to the nearest whole number.
Let's call the number of 1,000-meter intervals as N. Mathematically, this can be represented as:
N = floor(H / 1000)
Now, we know that for each 1,000-meter interval, the temperature drops by 6 degrees Celsius. So, to find the overall temperature decrease, we multiply the number of intervals N by 6.
The temperature at the top of the mountain, T(top), can be expressed using symbolic math as:
T(top) = T(base) - (6 * N)
where T(base) is the temperature at the base of the mountain, N is the number of 1,000-meter intervals, and T(top) is the calculated temperature at the top of the mountain.