A biologist puts an initial population of 500 bacteria into a growth plate. The population is expected to double every 4 hours. Write the equation that will give the expected number of bacteria, n, after x days. (24 hours = 1 day)

Step-by-step explanation:

Using the exponential growth equation where;

N₀ is the initial population of the bacteria

N(t) is the population of the bacteria during time t

If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0

If the population is expected to double every 4 hours, this means when t = 4, N₀  = 2(500) = 1000

The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours

Hence the equation that will give the expected number of bacteria, n, after x days is

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