Question

A bacteria population is 3000 at time t = 0 and its rate of growth is 1000 · 8t bacteria per hour after t hours.

Answer 1

P=3000x e^( 1000 x 8t )is the function
t is time, so "after a hour" means that the t is 1.
The problem is asking for the population, which is P
Substitute t for 1 and you obtain:
P= 3000 x e^(1000 x 8 x 1)
P=3000e^8000