Question

we know that the atmospheric pressure and the boiling point of water decrease as elevation increases. although these properties depend on many factors, we approximate linear models that relate them. we measure the pressure in kilopascals (kpa) and the boiling point in degrees celsius (°c) at an atmospheric pressure of x kilopascals. at a pressure of 100 kpa the boiling point of water is 100°c and drops by about 3.75°c for each 10 kpa drop in atmospheric pressure. find a linear function g that models the boiling point of water (in °c) if the atmospheric pressure is 74 kpa.

Explanation:

Step1: Calculate pressure drop

$100 - 74=26$ kPa

Step2: Calculate temperature drop

Since drop is 3.75°C per 10 kPa, $\frac{26}{10}\times3.75 = 9.75$°C

Step3: Find boiling - point

$100-9.75 = 90.25$°C

Answer:

$90.25$