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A colony of bacteria has 10,000 bacteria and is growing exponentially. The inequality 10,000(4x) β‰₯ 320,000 represents the hours, x, for which the colony will have at least 320,000 bacteria.


Which interval represents the hours when the colony will have at least 320,000 bacteria?


[2.5, ∞)

[3, ∞)

[32, ∞)

[0, 2.5]

I have no clue what it is

Respuesta :

Answer:

The correct option is;

[2.5, ∞)

Step-by-step explanation:

The given exponential equation can be expressed as follows;

10,000 Γ— 4Λ£ β‰₯ 320,000

Therefore we have;

4Λ£ β‰₯ 320,000/10,000

4Λ£ β‰₯ 32

㏒(4Λ£) β‰₯ ㏒(32)

x·㏒4 β‰₯ ㏒(32)

x β‰₯ ㏒(32)/㏒4

∴ x β‰₯ 2.5

Therefore, the interval the colony will have at least 320,000 bacteria is where x β‰₯ 2.5 or 2.5 ≀ x < ∞ which gives, the interval Β [2.5, ∞)

Answer:

[2.5, infinity) - A

Step-by-step explanation:

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