A bacteria population is 3000 at time t = 0 and its rate of growth is 1000 · 6t bacteria per hour after t hours. What is the population after one hour? (Round your answer to the nearest whole number.)
To find the population after one hour, we need to substitute t = 1 into the given formula for the rate of growth.
The rate of growth is given by 1000 · 6t bacteria per hour after t hours.
Substituting t = 1 into the formula, we get: 1000 · 6(1) = 1000 · 6 = 6000 bacteria per hour.
To find the population after one hour, we need to add the rate of growth to the initial population.
Population after one hour = 3000 + 6000 = 9000.
Therefore, the population after one hour is 9000 (rounded to the nearest whole number).
To find the population after one hour, we first need to determine the growth rate at that specific time. The rate of growth is given by the formula 1000 * 6t, where t is the time elapsed in hours.
Since we're interested in one hour, we plug t = 1 into the formula:
Rate of growth after one hour = 1000 * 6(1) = 1000 * 6 = 6000 bacteria per hour.
Now, to calculate the population after one hour, we start with the initial population of 3000 and add the growth that occurred in that hour.
Population after one hour = Initial population + Growth during one hour
Population after one hour = 3000 + 6000 = 9000 bacteria.
Therefore, the population after one hour is 9000 (rounded to the nearest whole number).