Mathematics

Mathematics

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 3 hPa/hour3\,\text{hPa/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 hPa998\text{ hPa}. c) There was exactly one time between 2:00 P.M. and 4:00 P.M. when the pressure equaled 997 hPa997\text{ hPa}. d) At some moment between 2:00 P.M. and 4:00 P.M., the rate of change of the pressure was exactly −3 hPa/hour-3\,\text{hPa/hour}.

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