SOLUTION: (FLIGHT CONDITIONS) In stable air, the air temperature drops about 5 �(F) for each 1,000-foot rise in altitude. (A) If the temperature at sea level is 100 �F and a commercial pi

Question 661215: (FLIGHT CONDITIONS) In stable air, the air temperature drops about 5 �(F) for each 1,000-foot rise in altitude.
(A) If the temperature at sea level is 100 �F and a commercial pilot reports a temperature of -30 �F at 26000 feet, write a linear equation that expresses temperature T in terms of altitude A.
Found 2 solutions by josmiceli, lwsshak3:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Plot altitude on the horizontal and temp on the vertical
so,
The slope of the line will be degrees/feet
You are given 2 points on the line,
( 0, 100 ) the sea level temp, and
( 26000, -30 )
--------------
slope =
slope =
slope =
This agrees with the given slope
---------------------------
Using the point-slope formula:

answer
check:
does it go through (26000, -30) ?

OK
Here's the plot with the horizontal axis expressed
in thousands of feet

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
(FLIGHT CONDITIONS) In stable air, the air temperature drops about 5 �(F) for each 1,000-foot rise in altitude.
(A) If the temperature at sea level is 100 �F and a commercial pilot reports a temperature of -30 �F at 26000 feet, write a linear equation that expresses temperature T in terms of altitude A.
**
linear equation takes the form: y=mx+b, m=slope, b=y-intercept
For given problem:
slope=-5�/1000 ft
equation:
T=-5A/1000+b
using coordinates (26000 ft,-30�) of given condition to solve for b
-30=-5*26000/1000+b
-30=-130+b
b=100
equation:
T=-5A/1000+100

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