Bacteria grow exponentially. There is often a doubling time associated with this growth; the amount of time it takes for the population to double.In the first part of this assessment, you will take on the role of a scientist studying bacteria. The bacteria grow in a petri dish exponentially modelled by the equation:A$($t$)=16(2)$t$6,$ where A is the number of bacteria and t is time in hours.A scientist has injected the bacteria with a poison that decays in the bacteria exponentially.The amount of poison in the bacteria colony is modelled by the equation P$($t$)=100(0\mathrm{.}5)$t$,$ where P is the percentage of poison remaining and t is the time in hours.