Question

The relationship between altitude and the boiling point of a liquid is linear. an altitude of 8200 ft, the liquid boils at 203.34 F. At an altitude of 4700 ft, the liquid boils at 207.89 F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2100 ft?

Answer 1

g

Explanation:

g

Answer 2

Let x for the altitude and y for the temperature.

Determine the value of slope:
m = (y - y1)/(x - x1)

Given two points (8200, 203.34) and (4700, 207.89),
m = (207.89 - 203.34)/(4700 - 8200) = -0.0013

Make a linear equation for this case.
y - y1 = m(x - x1)
y - 203.34 = -0.0013(x - 8200)
y - 203.34 = -0.0013x + 10.66
y = -0.0013x + 214

At x = 2100 ft
y = -0.0013(2100) + 214 = 211.27 F