Question

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.



PLEASE HELP ME I'M IN CLASS RIGHT NOW​

Answer 1

Answer:

Formula: $b=-0.00172h+212$

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