Initially, 50 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 8 hours.How can this information be interpreted?Select True or False for each statement.

Initially 50 bacteria are placed in a Petri dish It is observed that the bacteria triple in population every 8 hoursHow can this information be interpretedSelec class=

Respuesta :

The first statement will be "false" and the second one is "true". A further explanation is below.

According to the question,

Number of bacteria after "t" hours,

= [tex]50\times (3)^{\frac{t}{8} }[/tex]

This will be false.

Now,

After 36 hours,

→ [tex]N = 50\times (3)^{\frac{36}{8} }[/tex]

       [tex]= 50\times (3)^{\frac{36}{8} }[/tex]

       [tex]= 50\times (3)^{4.5}[/tex]

       [tex]= 7015[/tex]

This will be true.

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