00:01
In this problem, let t denote the temperature, let small letter t denote the time, further, let t not denote the initial temperature and let t alpha denote the temperature of the ambience.
00:28
So now making use of this, let us look at the given condition.
00:32
We are given that the rate at which the temperature changes is proportional to the disdiscence.
00:38
The difference between the initial temperature and the ambient temperature.
00:44
So now in order to remove this proportionality symbol, we introduce the constant of proportionality k.
00:51
So we get k times t0 minus t alpha.
00:55
So now let us look at the other given information.
00:58
We are given that t0 equals to 75 degrees fahrenheit and we are given that t alpha equals to 34 degrees fahrenheit.
01:08
So now we are further given that after five minutes, the value of the temperature is 70 degrees fahrenheit.
01:22
We are asked to find out the temperature when the time t equals to 30 minutes...