A population of bacteria increases from 500 to 4,000 in 3 years. What is the growth rate?
Solve for r using .
Let's solve this step-by-step using the given formula for exponential growth:
where:
is the population after time ,
is the initial population,
is the growth rate, and
is the time in years.
We are given:
The initial population ,
The population after 3 years is ,
The time years.
Substitute these values into the equation:
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