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.

Question

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.