Question

The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.
Write an exponential growth function that represents the population t years after 2000.

What will the population be in 2020? Round your answer to the nearest thousand. The population will be about:​

Answer 1

We have that the  exponential growth function  and  population be in 2020 is mathematically given as

• y=325000e^{0.002t}
• y=469925

From the question we are told

• The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.
• Write an exponential growth function that represents the population t years after 2000.
• What will the population be in 2020? Round your answer to the nearest thousand. The population will be about:

Population

a)

Generally the equation for the standard form of exponential  function is mathematically given as

y=325000e^{0.002t}

b)

With T =20

Hence

y=325000e^{0.002(20)}

• y=469925

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