Water boils at different temperatures at different elevations. the boiling temperature of water is 212degreesf at sea level (0 feet) but drops about 1.72degreesf for every 1,000 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 190degreesf.
determine a formula for the boiling point b, in degrees fahrenheit, at elevation h, in feet.

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Formula:

Elevation at 190 degrees is about 12,790.7 feet

Step-by-step explanation:

since 1.72 degrees are lost for every 1000 feet, we can say:

for every feet, 1.72/1000 = 0.00172 degrees are lost. That is the slope of the function.

Now, to find the y-intercept, we need to know at elevation (h=0), how much is boiling point?

That is 212, so this is y-intercept.

The equation would be

y = mx + b

Where m is the slope and b is the y-intercept

So,

we can write:

y = -0.00172x+212

Changing variables:

b = -0.00172h + 212

To find elevation when boiling point is 190, we put 190 into b and solve for h:

190 = -0.00172h + 212

0.00172h = 22

h=12,790.7 feet