The count in a bacteria culture was 100 after 20 minutes and 1300 after 35 minutes. Assuming the count grows exponentially,

Question

The count in a bacteria culture was 100 after 20 minutes and 1300 after 35 minutes. Assuming the count grows exponentially,



Answer 1

100= Po(e^20r)

1300= Po(e^35r)

divide last by 1sr equation to eliminate one variable

1300/100 = e^35r/e^20r = e^15r

r= ln13/15 = growth rate per minute = about 17.1%

Po= 100/e^4(ln13)/3)= about 3.27 initial amount

A=Poe^rt

A= about 3.27(e^.171t)