1. An initial population of $N_0 = 100$ <i>Amoeba</i> cells undergoes binary fission once every 2 hours. However, due to an environmental toxin introduced at t = 0, 20% of the existing population is eliminated at the end of every 4 hours. Determine the net population of <i>Amoeba</i> at the end of 8 hours.
A) 800 cellsB) 1024 cellsC) 1600 cellsD) 512 cells
✓ Correct Answer: Option B
Explanation: <strong>Solution:</strong><br>Let's track the population step-by-step:<br>- At t = 0: 100 cells.<br>- At t = 2 hours: After one cycle of binary fission, population $= 100 \times 2 = 200$ cells.<br>- At t = 4 hours: After second binary fission, population $= 200 \times 2 = 400$ cells. Immediately, 20% are killed: $400 \times (1 - 0.20) = 320$ cells.<br>- At t = 6 hours: After third binary fission, population $= 320 \times 2 = 640$ cells.<br>- At t = 8 hours: After fourth binary fission, population $= 640 \times 2 = 1280$ cells. Immediately, 20% are killed: $1280 \times 0.80 = 1024$ cells.<br>Therefore, the net population is 1024 cells.