Answer:
19.33 million bacteria was created in the 6th hour
Explanation:
The number of bacteria created in the first hour, a = 12 million
There is 10% increase in the number of bacteria created every hour
Therefore, the common ratio is:
[tex]\begin{gathered} r\text{ = 1 + 10\%} \\ r\text{ = 1 + 0.1} \\ r\text{ = 1.1} \end{gathered}[/tex]
The amount of bacteria created each hour will therefore be:
[tex]T(h)=ar^{h-1}[/tex]
For the 6th hour, h = 6
Substitute h = 6 into the formula above
[tex]\begin{gathered} T(6)=12(1.1)^{6-1} \\ T(6)=12(1.1)^5 \\ T(6)\text{ = 12(}1.61051) \\ T(6)\text{ = }19.33 \end{gathered}[/tex]
19.33 million bacteria was created in the 6th hour
