Question

the relationship between altitude and the boiling point of a liquid is linear. at an altitude of 8400 ft, the liquid boils at 202.4 farenheit. at an altitude of 4200 ft, the liquid boils at 208.7 farenheit. write an equation giving the boiling point b of the liquid, in degrees farenheit in terms of altitude a, in feet. what is the boiling point of the liquid at 2400 ft?

Answer 1

The relationship between altitude and boiling point is linear. The equation giving the boiling point in terms of altitude is b = -0.02115a + 380.06. The boiling point at an altitude of 2400 ft is approximately 332.94°F.

Step-by-step explanation:

The relationship between altitude and the boiling point of a liquid is linear.

To write an equation giving the boiling point b of the liquid in terms of altitude a, we can use the slope-intercept form of a linear equation, y = mx + b. Here, the boiling point (y) is the dependent variable, and altitude (x) is the independent variable. Let's calculate the values:

Slope (m) = (208.7 - 202.4) / (4200 - 8400) = -0.02115

b = y - mx

b = 202.4 - (-0.02115 * 8400) ≈ 202.4 + 177.66 ≈ 380.06

Therefore, the equation giving the boiling point b in terms of altitude a is b = -0.02115a + 380.06.

To find the boiling point at an altitude of 2400 ft, substitute a = 2400 into the equation: b = -0.02115 * 2400 + 380.06 ≈ 332.94°F.

Answer 2

Answer: boiling point at altitude = 2100 ft:

Now, in order to calculate the boiling point at altitude 2100, we will substitute in the equation of the line as follows:

y = -0.0015(2100) + 213 = 209.85 degrees Fahrenheit