Atmospheric pressure is approximately 100kPa. a bike tite is kept at 450kPa. The tire springs a leak and begins to lose air pressure, approaching atmospheric prsssure following an exponentially decaying pattern with a half- life of 30 seconds.
a) write an equation that could be used to determine the pressure of the tire relative to atmospheric pressure, in terms of the time, t seconds, after it springs a leak
b) Using your equation, determine the amount of time that would pass before the tire reaches a pressure of 21.875 kPa above atmospheric pressure.
c) Using your equation, determine the tire's pressure after 5 minutes.
State your answer in actual kPa (relative to zero pressure) not in kPa above atmospheric pressure.
