To find the population after one hour, we can substitute t = 1 into the given growth rate equation and calculate the population at that time.
Given:
Initial population (t=0): 4000
Rate of growth: 1000(5^t) bacteria per hour
Substituting t = 1 into the growth rate equation:
Rate of growth at t=1: 1000(5^1) = 1000(5) = 5000 bacteria per hour
To find the population after one hour, we add the rate of growth to the initial population:
Population after one hour = Initial population + Rate of growth
Population after one hour = 4000 + 5000 = 9000 bacteria
Therefore, the population after one hour is 9000 bacteria.