The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8400 ft, the liquid boils at 198.04°F. At an altitude of 4400 ft, the liquid boils at 205.64°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2400 ft?

a) The equation giving the boiling point of the liquid is .

b) The boiling point of the liquid at 2400 feet is 209.44 degrees Fahrenheit.

Step-by-step explanation:

a) From the statement of the problem, we understand that boiling point of a liquid is represented by the following linear function in terms of altitude:

(Eq. 1)

Where:

- Temperature as a function of altitude, measured in degrees Fahrenheit.

- Altitude, measured in degrees Fahrenheit.

, - Lower and higher temperatures, measured in degrees Fahrenheit.

, - Lower and higher altitudes, measured in feet.

If we know that , , , , then we find that the equation giving the boiling point of the liquid is:

(Eq. 2)

The equation giving the boiling point of the liquid is .

b) If we know that , then the boiling point of the liquid at such altitude is:

The boiling point of the liquid at 2400 feet is 209.44 degrees Fahrenheit.

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step-by-step explanation:

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