Question

HELP! - Water boils at different temperatures at different elevations. The boiling temperature of water is 212F at sea level​ (0 feet) but drops about 1.72F 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 190F. Determine a formula for the boiling point​ b, in degrees​ Fahrenheit, at elevation​ h, in feet.

Answer 1

Answer:

a. T = -1.72x + 212

b. 12,790 feet

Step-by-step explanation:

a. Let us assume the number of 1,000 elevation feet be x

Now the equation would be

T = -1.72x + 212

here the negative sign represents the fall in the boiling temperature with rise in elevation

b. Since the formula is

T = -1.72x + 212

can we write

T  - 212 = -1.72x

now divide by 1.72 in both the sides

$\frac{t-212}{-1.72} = x\\\\ \frac{190-212}{-1.72} = x\\\\ \frac{-22}{-1.72} = x$

x = 12.79

So in feets it should be

= 12.79 × 1,000 feets

= 12790 feet