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Bacteria is being grown in a petri dish. The number bacteria B after t hours can be modeled by B(t) = 150e^0.585t. What is the initial number of bacteria present?
How many bacteria will be in the petty dish after 12 hours?

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Lanuel
  1. The initial number of bacteria present is equal to 270 bacteria.
  2. The number of bacteria that will be in the petty dish after 12 hours is 167818 bacteria.

What is an exponential function?

An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:

f(x) = eˣ

How to calculate the initial number of bacteria?

B(t) = 150e^0.585t

When t = 1, we have:

B(1) = 150e^0.585(1)

B(1) = 150e^0.585

B(1) = 269.25 ≈ 270 bacteria.

How many bacteria will be in the petty dish after 12 hours?

B(12) = 150e^0.585(12)

B(12) = 150e^7.02

B(12) = 167817.99 ≈ 167818 bacteria.

Read more on exponential functions here: brainly.com/question/27866047

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