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Question
- (0 points) in 1965, latvia had a population of 2.27 million, and an exponential growth rate of 1.12%.
(a) find the exponential growth function.
ans:
Step1: Identify the initial population
$$P_0 = 2.27$$
Step2: Convert growth rate to decimal
$$k = 1.12\% = 0.0112$$
Step3: Write the exponential growth function
$$P(t) = P_0 e^{kt} = 2.27e^{0.0112t}$$
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\(P(t) = 2.27e^{0.0112t}\)