Suppose that an initial population of bacteria dies exponentially at a rate of % per hour. How many bacteria are present after t hours?

Question

Suppose that an initial population of  bacteria dies exponentially at a rate of  % per hour. How many bacteria are present after t hours?

Quizplus · Accepted Answer

The formula for exponential decay is: N(t) = N0 * e^(-rt), where N0 is the initial number of bacteria, r is the decay rate (in decimal form), t is the time in hours, and N(t) is the number of bacteria after t hours.

Plugging in the given values, we get:
N(t) = 11ead0bc_8c00_9a04_99a0_31e3b2a80849_TB6988_11 * e^(-0.11t)

So, after t hours, the number of bacteria present is given by N(t). Plugging in t = 1, we get:
N(1) = 11ead0bc_8c00_9a04_99a0_31e3b2a80849_TB6988_11 * e^(-0.11*1)
N(1) = 11ead0bc_8c00_e829_99a0_5b213c402f6c_TB6988_11

Therefore, the answer is D) 11ead0bc_8c00_e829_99a0_5b213c402f6c_TB6988_11.

Suppose That an Initial Population of Bacteria Dies Exponentially