A particular city had a population of 27 comma 000 in 1910 and a population of 30 comma 000 in 1940. Assuming that its population continues to grow exponentially at a constant rate, what population will it have in 2000?

Population of 36,997 in 2000.

Step-by-step explanation:

The exponential equation for population growth is:

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

A particular city had a population of 27 comma 000 in 1910 and a population of 30 comma 000 in 1940.

This means that

1940 is 30 years after 1910, since 1940-1910 = 30.

So

Replacing this in the equation, we can find the growth rate.

Applying ln to both sides

So

Assuming that its population continues to grow exponentially at a constant rate, what population will it have in 2000?

20000 is 90 years after 1910, so this is P(90).

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