The temperature at which water starts to boil is called its boiling point and is

Question

The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Whater boils at 212 degrees F at sea level and at 193.6 degrees F at an altitude of 10,000 feet.

(A) Find a relationship of the form T=mx+b where T is degrees Fahrenheit and x is altitude in thousands of feet.

(B) Find the boiling point at an altitude of 4,700 feet

(C) Find the altitude if the boiling point is 203.5 degrees F.

(D) Graph T and illistrate the answers to B and C on the graph

Explanation / Answer

A) by given conditions we get 2 equations

212 = m * 0 + b

193.6 = m*10000+ b

we get

b=212

m= -1.84 *10^-3

B)at x = 4700

T = 203.35

C)

T = 203.5

x= 4619.56 feet

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