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The count in a bacteria culture was 900 after 15 minutes and 1100 after 35 minutes. Assuming the count grows exponentially,

What was the initial size of the culture?

Respuesta :

Answer:

300

Step-by-step explanation:

1100 = 900 [tex]e^{k*20}[/tex]

1.222222 =  [tex]e^{k*20}[/tex]

ln(1.222) = 20k ln(e)

k = ln(1.222)/20

k = .2004

900 = x [tex]e^{15* .20004}[/tex]

900/x =    [tex]e^{15* .20004}[/tex]

 [tex]e^{15*.2004} = 900/x[/tex]

x = 900/   [tex]e^{15*.2004}[/tex]

x = 300

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