The bacteria increase at the rate proportional to the number of bacteria present. If the original number N…
The bacteria increase at the rate proportional to the number of bacteria present. If the original number N doubles in 8 hours, then the number of bacteria in 24 hours will be
8 N
16 N
32 N
64 N
Solution
$\begin{array}{ll} & \text { Initial number of bacteria }=\mathrm{N} \\ \therefore \quad & \text { After } 8 \text { hours number of bacteria }=2 \mathrm{~N} \\ \therefore \quad & \text { After } 16 \text { hours number of bacteria }=4 \mathrm{~N} \\ \therefore \quad & \text { After } 24 \text { hours number of bacteria }=8 \mathrm{~N}\end{array}$