Question 809654: At the Autosport Show in Birmingham, England, in January 2001, karting champion Stuart Ziemelis demonstrated an electric race kart with a top speed of over 100 mph and acceleration from 0-60 mph in less than 4 seconds. The difference between the race kart’s speed S and its top speed can be modeled by (100 - S) = 100(0.795)t, where t is the time in seconds after the start. Predict the electric race kart’s speed after 8 seconds.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At the Autosport Show in Birmingham, England, in January 2001, karting champion Stuart Ziemelis demonstrated an electric race kart with a top speed of over 100 mph and acceleration from 0-60 mph in less than 4 seconds. The difference between the race kart’s speed S and its top speed can be modeled by (100 - S) = 100(0.795)t, where t is the time in seconds after the start. Predict the electric race kart’s speed after 8 seconds.
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(100 - S) = 100(0.795)^t
100-S = 100(0.795)^8
100 - S = 100*0.1596
100 - S = 15.96
S = 100 - 15.96
S = 84.04 mph
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Cheers,
Stan H.
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