Question

This table represents the boiling point of water at different altitudes. Which equation represents water's boiling point (y) based on the change in altitude (x)?

Altitude
(thousands of feet) Boiling Point of Water
(Fahrenheit)
(sea level) 0 212
0.5 211.1
1.0 210
2.0 208.4
2.5 207.5
3.0 206.6
4.0 204.8
4.5 203.9
A.
-0.6x + 212
B.
-1.8x + 212
C.
-0.6x + 203.9
D.
-1.8x

Answer 1

Answer:

Alt Diff Temp Diff

0  212  

0.5 0.5 211.1 -0.9

1 0.5 210 -1.1

2 1 208.4 -1.6

2.5 0.5 207.5 -0.9

3 0.5 206.6 -0.9

4 1 204.8 -1.8

4.5 0.5 203.9 -0.9

   

Slope = change T /change Alt = -.5 / .9 = -.56

y = m x + b = -.6 x + b    

When x = 0   y = 212    

So y = -.6 x + 212