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