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 i

Question

blagie [28]

1 year ago

8

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 i

nitial number of bacteria present?
How many bacteria will be in the petty dish after 12 hours?

Advanced Placement (AP)

1 answer:

Elina [12.6K] · Answer 1 · 2024-02-21T04:26:42+03:00

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

<h3>What is an exponential function?</h3>

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

<h3>How to calculate the initial number of bacteria?</h3>

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.

<h3>How many bacteria will be in the petty dish after 12 hours?</h3>

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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