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?

The function N(t) is given as:

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:

The number of bacteria of species B, B(t), after t hours is represented by the function:

N(t) denotes the difference in the number of bacteria; hence N(t) is given by after t hours as:

N(t)=A(t)-B(t)

which on simplifying gives:

Hence,

answer by yourhope:

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