Question

Hi! I can’t seem to find the right formula for this question, my answers don’t feel right, i would rlly appreciate some help

Answer 1

Answer:

19.33 million bacteria was created in the 6th hour

Step-by-step 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:

`\begin{gathered} r\text{ = 1 + 10\%} \\ r\text{ = 1 + 0.1} \\ r\text{ = 1.1} \end{gathered}`

The amount of bacteria created each hour will therefore be:

`T(h)=ar^(h-1)`

For the 6th hour, h = 6

Substitute h = 6 into the formula above

`\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}`

19.33 million bacteria was created in the 6th hour