To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the nu

Question

To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.​

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Gerda 3 years 2021-07-31T00:19:54+00:00 1 Answers 23 views 0

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  1. Amity
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    2021-07-31T00:21:34+00:00
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    The function that models exponential growth is:

    P(t) = P0*(1 + r)^t, where

    P0 = P(0) is the initial value of P

    r is the growth rate as a decimal

    In our case we have:

    P(0) = 2800

    r = 0.035 or 3.5%

    P(t) = 2800*(1 + 0.035)^t

    P(t) = 2800*(1.035)^t

    The same exponential function written using y and t is:

    y = 2800*1.035^t.

    Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria

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