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

D .

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,

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

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

Hence, the correct answer should be : D .

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.