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17 August, 22:08

In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.

Time (hours) 0 1 2 3 4 5 6

Population (1000s) 5.1 3.03 1.72 1.17 1.38 2.35 4.08

a. Find a quadratic model for the data in the table. Type your answer below.

b. Use the model to estimate the population of bacteria at 9 hours. Type your answer below.

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Answers (1)
  1. 17 August, 22:27
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    a) The equation is, P = 0.38 t^2 - 2.45 t + 5.1

    Where,

    t = time (hrs)

    P = population (1000's).

    b) At, t = 9 hours

    P = 0.38*9^2 - 2.45*9 + 5.1

    P = 13.83.
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