Compounded Bacteria
Algebra
Level
1
Certain bacteria, given favorable growth conditions, grow continuously at a rate of 4.6% a day. Find the bacterial population after thirty-six hours, if the initial population was 250 bacteria.Give your answer to the nearest integer.
297
268
287
278
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1 solution
The first day 24 hours 4.6=X x 100/250 Then X = 11.5
The next day 4.6=X x 100/(250+11.5) Then X = 12.029 But we want only 12 hours .. The half of the day ..so the increased number in this 12hours = 12.029/2=6.0145
The whole numer in the 36 hours = 250+11.5+6.0145 = 267.5145 To the nearest integer = 268