Answer : The complete question is attached in the answer.
Answer A) In the given equation of T = M x + b; where T is the temperature in degrees fahrenheit, and x is altitude in thousands feet;
Now, at sea level altitude will be 0, so x = 0
Here the equation will become; T = M (0) + b
Where T is 193.6 and, b=212 and if it is at 10,000 feet x = 10;
Substituting in equation we get; 193.6 = 10M +212,
On solving we get M = -18.4,
So, T = -1.84 x + 212 ...(the required relationship).
Answer B) Now we have to the temperature at the altitude of 3,500 feet above sea level,
here x becomes 3.5 and we have T as 193.6 and M as -1.84 so substituting the values in the equation we get,
T = -1.84 (3.5) + 212 = 205.56 F ,
Hence Temperature will be = 205.56 F.
Answer C) In the given question we have to find the altitude if the boiling point is 200 F
So, T was 212 and now it is 200 so we have to calculate the altitude;
Equation is T = M x + b; so x = (T-b) / M;
Substituting the values in this rearranged equation,
x = (200-212) / -1.84 = ~ 6522 ft
So, the altitude may be 6522 feet
Due to changes in atmospheric pressure with altitude, the boiling point of water varies inversely with altitude.
The boiling point of a liquid is the temperature at the which the vapour pressure of the liquid is equal to the atmospheric pressure at that point.
The boiling point of water decreases with increase in altitude.
This is because the atmospheric pressure decreases with increase in altitude.
For example, water boils at 212°F at sea level and at 193.6 °F at an altitude of 10,000 feet.
Therefore, it can be concluded that the boiling point of water varies inversely with altitude.
Learn more about boiling point and altitude at: https://brainly.com/question/18166288
