Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is represented by the

Question

Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is represented by the function, A(t) = 5 + (0.25t)3. The number of bacteria of species B, B(t), after t hours is represented by the function, B(t) = 2 + 8(1.06)t.

Which function describes the difference in the number of bacteria, N(t), of both the species after t hours?

A.

N(t) = 3 + (0.25t)3 + 8(1.06)t

B.

N(t) = 7 + (0.25t)3 + 8(1.06)t

C.

N(t) = 7 + (0.25t)3 – 8(1.06)t

D.

N(t) = 3 + (0.25t)3 – 8(1.06)t

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Maya 2 days 2021-10-11T20:45:27+00:00 1 Answer 0

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    2021-10-11T20:47:17+00:00

    Answer: D . N(t) = 3 + (0.25t)^3 - 8(1.06)^t

    Step-by-step explanation:

    Given : Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is represented by the function,

    A(t) = 5 + (0.25t)^3

    The number of bacteria of species B, B(t), after t hours is represented by the function, B(t) = 2 + 8(1.06)^t

    Then, the difference in the number of bacteria, N(t), of both the species after t hours will be :-

    N(t)=A(t)-B(t)\\\\=5 + (0.25t)^3-(2 + 8(1.06)^t)\\\\=5 + (0.25t)^3-2-8(1.06)^t\\\\=5-2 +(0.25t)^3-8(1.06)^t\\\\=3+(0.25t)^3-8(1.06)^t

    Hence, the correct answer should be : D . N(t) = 3 + (0.25t)^3 - 8(1.06)^t

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27:3+15-4x7+3-1=? ( )