A weather station records air pressure continuously
MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
A weather station records air pressure continuously. At 2:00 P.M. the pressure is 1001 hPa, and at 4:00 P.M. it is 995 hPa. Which statement is most strongly supported by this information?
(a) The pressure decreased at a constant rate of 3hPa/hour between 2:00 P.M. and 4:00 P.M.
(b) At some time between 2:00 P.M. and 4:00 P.M., the pressure was exactly 998 hPa.
(c) There was exactly one time between 2:00 P.M. and 4:00 P.M. when the pressure equaled 997 hPa.
(d) At some moment between 2:00 P.M. and 4:00 P.M., the rate of change of the pressure was exactly −3hPa/hour.