Asked by Ana
A colony of germs grows exponentially. It starts at 500 germs. After 8 minutes there are 600 germs. When will there be 1000 germs?
Answers
Answered by
bobpursley
600=500e^a8 where a is a constant.
1000=600e^aX
solve for a in the first equation:
1.2=e^8a
take ln of both sides
8a=.182
a=.02279
now put that in the second equation
1000/600=e^ax
take ln both sides
.511=ax= .02279x
x=22.4 min from when it was 600,or 30.4 min from the start.
check my work
1000=600e^aX
solve for a in the first equation:
1.2=e^8a
take ln of both sides
8a=.182
a=.02279
now put that in the second equation
1000/600=e^ax
take ln both sides
.511=ax= .02279x
x=22.4 min from when it was 600,or 30.4 min from the start.
check my work
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