writ the following science ideas mathematically using symbolic representation
You learn that for every 1,000 meters you know the temperature drops by 6`c. You have the idea that if you know the temperature at the base of a mountain and its height you can figure out the temperature at the top of the mountain
i don't get it
T(top) = T(base) - (H/1000)*6
=ou can use that equation to get the temperature at the top of the mountain.
To mathematically represent the science idea, let's break it down step by step:
1. Let's start by assigning variables to the relevant quantities.
- Let T1 represent the temperature at the base of the mountain.
- Let T2 represent the temperature at the top of the mountain.
- Let H represent the height of the mountain in meters.
- Let ΔT represent the change in temperature.
2. Based on the given information, we know that for every 1,000 meters in altitude, the temperature drops by 6°C. So, we can express this as an equation:
ΔT = (H / 1000) * 6
This equation represents the change in temperature (ΔT) as a function of the height (H) of the mountain. It takes into account that for every 1,000 meters in altitude, the temperature drops by 6°C.
3. Now, to find the temperature at the top of the mountain (T2), we can use the equation:
T2 = T1 - ΔT
This equation states that the temperature at the top of the mountain (T2) is equal to the temperature at the base of the mountain (T1) minus the change in temperature (ΔT) calculated in the previous step.
By substituting the values of T1, H, and solving for T2 using the equations above, you can use symbolic representation to mathematically determine the temperature at the top of the mountain.