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elixir [45]
3 years ago
5

After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decrease

s rapidly. The relationship between the elapsed time,t, in seconds, and the number of bacteria, B(t), in the petri dish is modeled by the following function:
B(t)=9,300•(1/64)^t

Complete the following about the rate of change of the bacterial culture. Round your answer to two decimal places.

The bacterial culture loses 1/2 of its size every _________ seconds.

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer:

  0.17

Step-by-step explanation:

The function can be rewritten as ...

  B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)

In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:

  6t = 1

  t = 1/6 ≈ 0.166667 ≈ 0.17

The culture loses half its size every 0.17 seconds.

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Step-by-step explanation:

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8 0
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Read 2 more answers
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Step-by-step explanation:

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