5. Detail solution.

The bacterium Escherichia coli has a doubling period of 32 minutes. A culture of E. ooli starts with 100 bacteria -Determine the equation for the number of bacteria in t hours. -How many hours will it take for there to be 450 bacteria in the culture? Explain your strategy. The colouring of dark blue jeans fades with repeated washing. Suppose that a pair of jeans loses 3% of this colouring after each wash. a) Determine an equation to model the percentage of colour P, remaining after w washes. b) After 30 washes, what percentage of the original colour has been washed out the jeans?