Let$’$s look at the growth of Winston$-$Salem, NC$.$In $2022,$ the population was about $537,000.$ The city$’$s population grew by $9000$ people from $2022$ to $2023.$

a$.$ If the growth keeps up in a linear fashion, create a population model for Winston$-$Salem.

Let P be the population after t years since $2022($i$.$e$.$ t$=0$ is $2022,$ t$=1$ is $2023).$ How many people will live there in $10$ years?