Question

If a cell undergoes cell division every 5 min, how many cells will there be after 1hr

Answer 1

1hr = 60 mins
If a cell undergoes cell division in every 5 min
then
1 cell = 5 min
x cells = 60mins
cross mutiply
1 ×60 = x × 5
60 = 5×
Divide both sides by 5
60/5 = 5x/5
12 =x
therefore the total number of cells after I hr is 12

Answer 2

The number of cells that will be produced after an hour if it undergoes cell division every 5 minutes is;

4096 cells

If the cell is represented by a whole which is 1, then if it is divided, then it becomes 2 cells.

Now, we are told that it undergoes division every 5 minutes, this means that every 5 minutes the number of cells doubles.

Thus, number of cells = 2ⁿ

Where n is the number of cell divisions

Now, in 1 hour, we have 60 minutes.

Thus, number of cell divisions; n = 60/5 = 12 cell divisions per hour

Now, since  number of cells = 2ⁿ, then number of cells produced after 1 hour is;

2¹² = 4096 cells

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