Question

The population of a certain city was 4001 in 1999. It is expected to decrease by about 0.37% per year. Write an exponential decay function, and use it to approximate the population in 2027

Answer 1

An exponential decay function, and use it to approximate the population in 2027 is P(t) = 4001e^-(0.0037)(28) = P(t) = 4001e^-0.1036

Exponential equation

The standard exponential function is expressed as:

P(t) = P0e^-rt

• P0 is the initial population = 4001
• r is the rate. = 0.37% = 0.0037
• t is the time

Substitute

P(t) = 4001e^-(0.0037)t

If t = 28 (by 2027)

An exponential decay function, and use it to approximate the population in 2027 is P(t) = 4001e^-(0.0037)(28) = P(t) = 4001e^-0.1036

Learn more on exponential function here: brainly.com/question/12940982

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