Mrs. Galicia is watching the bacterial population grow at a rate of 40% per year. The bacteria population originally started at 30. After 8 years how many bacteria will be present?
To calculate the final population of bacteria after 8 years, we can use the formula for exponential growth:
P = P0 * (1 + r)^t
Where:
P = final population
P0 = initial population
r = growth rate (in decimal form)
t = time in years
Given:
P0 = 30
r = 40% = 0.40
t = 8 years
Plugging in the values:
P = 30 * (1 + 0.40)^8
P = 30 * (1.40)^8
P = 30 * 13.98
P ≈ 419.34
Therefore, after 8 years, approximately 419 bacteria will be present in Mrs. Galicia's experiment.