idk but please help me yo

Question

The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 84008400
?ft, the liquid boils at 195.04195.04degrees°F.
At an altitude of 46004600
?ft, the liquid boils at 202.26202.26degrees°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 21002100
?ft?

Answer 1

This word problem can be broken down into three pieces.

 

1) The problem is giving us two points on a graph: (8400ft, 195.04°F) and (4600, 202.26°F). For this problem, the points are labeled (A, B) where A is altitude in feet and B is the boiling point in °F. Determine the rate of change (m) using the slope formula.

 

(B2-B1)/(A2-A1)=m          (202.26-195.04)/(4600-8400)=m         -0.0019=m

 

 

 

 

2) Our goal is to use the slope-intercept equation to answer the word problem. However, we are missing a piece of the equation: b. To find b, simply use one of the points from the word problem and solve as demonstrated below.

 

B=mA+b           195.04=-0.0019(8400)+b            195.04=-15.96+b        211=b

 

 

 

Now, we have our formula!    B=-0.0019(A)+211

 

 

 

3) We now solve the word problem by plugging 2100ft into our formula and solve for B.

 

     B=-0.0019(2100)+211        B=207.01

 

 

 

ANSWER: The boiling point of a liquid at 2,100ft altitude is 207.01°F.