Answers

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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