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Question 1187719:  The altitude, A, of an airplane follows a linear model given by: 
A = mt + b 
Where t is the time in seconds after taking off. 5 seconds after taking off from the ground, the plane is 1200ft above sea level and 60 seconds after take-off, the plane is 3400ft above sea level. 
a) Solve for m and b 
b) How high is the ground above sea level? (Hint: the plane is on the ground just before take-off) 
c) Find rate of altitude increase over period 0 < t < 775? Both less than should be less than or equal to. 
 Answer by Alan3354(69443)      (Show Source): 
You can  put this solution on YOUR website! The altitude, A, of an airplane follows a linear model given by: 
A = mt + b 
Where t is the time in seconds after taking off.  
----- 
5 seconds after taking off from the ground, the plane is 1200ft above sea level and 60 seconds after take-off, the plane is 3400ft above sea level. 
1200 = 5m + b 
3400 = 60m + b 
------------------------ Subtract 
-2200 = -55m 
m = 40 ft/sec 
----------------------- 
a) Solve for m and b 
Sub for m and find b 
------------ 
b) How high is the ground above sea level? 
That's b. 
We don't need hints. 
============================= 
 (Hint: the plane is on the ground just before take-off) 
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c) Find rate of altitude increase over period 0 < t < 775? Both less than should be less than or eq 
That's m. 
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