Question

Water boils at different temperatures at different elevations. The boiling temperature of water is 212⁰F at sea
level (0 feet) but drops about 1.72⁰F for every 1000 feet of elevation. Write a formula for the boiling point at a
given elevation. Then solve the formula for the elevation when the boiling point for water is 190⁰F.

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 https://brainly.com/question/24808124
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