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Math·Advanced Math·Nonlinear functions

hard

The function $$P(x)=581(1.012{)}^x$$ models the population of a certain town each year from 1957 through 1972, where $x$ is the number of years after 1957. Which of the following is the best interpretation of “$P(5)$ is approximately equal to 617” in this context?

A

The population of the town is estimated to be approximately 617 in 1962.

B

The population of the town is estimated to be approximately 5 greater in 1962 than in 1957.

C

The population of the town is estimated to be approximately 5 times greater in 1962 than in 1957.

D

The population of the town is estimated to increase by approximately 617 every 5 years between 1957 and 1972.