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July 20th, 2015, 10:42 AM  #1 
Newbie Joined: Jun 2015 From: Austin Posts: 12 Thanks: 0  Exponent Word Problem
Forum: I am trying to figure this out Heavier aircraft require runways with thicker pavement for landing and takeoff. A pavement 6 inches thick can accommodate an aircraft weighing 80,000 lbs., whereas a 12inchthick pavement is necessary for a craft weighing 350,000 lbs. The relation between pavement thickness t in inches and gross weight W in thousands of lbs. is modeled by W=Ca^t $\displaystyle W=Ca^t$ So.. (6, 80),(12,350) a. Find values for C and a. On my notes I have $\displaystyle 80=Ca^6 $ => $\displaystyle C=8/a^6 $ But I do not know where the 8 came from. Could anyone explain? 
July 20th, 2015, 11:04 AM  #2  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 896  Quote:
 
July 20th, 2015, 12:00 PM  #3 
Newbie Joined: Jun 2015 From: Austin Posts: 12 Thanks: 0 
Well that makes sense then. So to begin solving this problem would I go like this: $\displaystyle f(350)/f(80) = a^6 ; f(350)/f(80) = 350/80 = 35/8 $ Then $\displaystyle W = C(35/^x $ Last edited by TravisR; July 20th, 2015 at 12:03 PM. 

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