Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics,

Question

Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics, 33,820 were left. After a second treatment, 30,100 bacteria were left. How many bacteria will be left on day 27

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Latifah 5 years 2021-08-23T12:12:33+00:00 1 Answers 8 views 0

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  1. Dulcie
    0
    2021-08-23T12:14:00+00:00
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    Answer:

    1836 bacteria

    Step-by-step explanation:

    Now the data is a progression; 38,000, 33,820, 30,100 ………

    We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

    r= 33,820/38,000 = 30,100/33,820 = 0.89

    So, for a geometric progression;

    Un = ar^n-1

    Where;

    a = 38,000

    r = 0.89

    n = 27 days

    Un = ???

    Un = 38,000 * (0.89)^27 – 1

    Un = 1836 bacteria

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