The equation for the number of members after [tex]x[/tex] years is [tex]P=674x+169[/tex].
The members after [tex]6[/tex] years are [tex]4213[/tex].
Let [tex]x[/tex] be the number of years after [tex]1996[/tex] and [tex]P[/tex] be the number of members.
The membership in [tex]1996[/tex] is [tex]169[/tex].
Rate growth of [tex]674[/tex] per year.
So, the equation for the number of members after [tex]x[/tex] years is [tex]P=674x+169[/tex].
For the members after [tex]6[/tex] years, put [tex]x=6[/tex] in the equation,
[tex]P=674 \times 6 + 169[/tex]
[tex]P=4044+169[/tex]
[tex]P=4213[/tex].
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