Question

Water boils at different temperatures at different elevations. The boiling temperature of water is 212⁰F at sea

Answer 1

The linear function that gives the boiling point at a given elevation is:

y = -0.00172x + 212.

When the boiling point for water is 190⁰F, the elevation is of 12,791 feet.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

• The boiling temperature of water is 212⁰F at sea level (0 feet), hence the y-intercept is of 212.

• Considering the drop of 1.72ºF each 1000 feet of elevation, the slope is given by: m = -1.72/1000 = -0.00172.

Hence the linear function that gives the boiling point at a given elevation is:

y = -0.00172x + 212.

When the boiling point for water is 190⁰F, the elevation is found as follows:

190 = -0.00172x + 212.

0.00172x = 22

x = 22/0.00172

x = 12,791 feet.

More can be learned about linear functions at brainly.com/question/24808124

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