Question

At higher elevations water boils at lower temperatures. The temperature at which water boils is

called the boiling point of water. At sea level the boiling point of water is 100°C, while at 2
kilometers of elevation (about 6550 feet) the boiling point of water is 94°C. The function that gives
the boiling point of water in °C, B, at an elevation of a kilometers is B(x) = 100 – 3.52.
Determine the elevations at which the boiling point of water is between 89 °C and 93 °C. Give your
answer accurate to 1 decimal place.

Answer 1

The boiling point of water at higher elevations is lower due to decreased atmospheric pressure. To determine the elevations at which the boiling point of water falls within a specific temperature range, we can use an inequality.

Step-by-step explanation:

The boiling point of water is affected by external pressure. At higher elevations where the atmospheric pressure is lower, water boils at a lower temperature. The function that gives the boiling point of water at an elevation of x kilometers is B(x) = 100 - 3.52x, where B represents the boiling point in °C and x represents the elevation in kilometers. To determine the elevations at which the boiling point of water is between 89 °C and 93 °C, we can set up the following inequality:

89 ≤ 100 - 3.52x ≤ 93

Solving this inequality will give us the range of elevations where the boiling point of water falls within the desired temperature range.