Answer: C) 255879
Step-by-step explanation:
Since, the initial number of bacteria = 13,
Thus, if the bacteria is tripled in one hour,
Then the number of bacteria after one hour = 13
In second hour = 13 ×3 = [tex]13(3^{2-1})[/tex]
In third hour = 13 × 3 × 3 = [tex]13(3^{3-1})[/tex]
In fourth hour = 13 × 3 × 3 × 3 = [tex]13(3^{4-1})[/tex]
Similarly, in 10th hour the number of bacteria
= [tex]13(3^{10-1})[/tex]
= [tex]13(3^9)[/tex]
= [tex]13\times 19683[/tex]
= [tex]255879[/tex]
Hence, the number of bacteria in 10th hour = 255879
⇒ Option C is correct.
