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Math·Advanced Math·Nonlinear functions

easy

The function $P(x)=506(1.013{)}^x$ models the population of a certain town each year from $1953$ through $1968$, where $x$ is the number of years after $1953$. Which of the following is the best interpretation of “$P(5)$ is approximately equal to $540$“ in this context?

A

The population of the town is estimated to be approximately $5$ greater in $1958$ than in $1953$.

B

The population of the town is estimated to be approximately $540$ in $1958$.

C

The population of the town is estimated to be approximately $5$ times greater in $1958$ than in $1953$.

D

The population of the town is estimated to increase by approximately $540$ every $5$ years between $1953$ and $1968$.