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Okay...

You're given the fact they want to model the population growth as\[f(t)=a+b \sqrt{t}\]

You're told that, at time 0, f(0)=2000, so\[f(0)=2000=a + b \sqrt{0}=a\]

and at time t=16, you have\[f(16)=18000=b \sqrt{16}=4b\]so b = 18000/4 = 4500

\[f(t)=2000+4500\sqrt{t}\]

sorry - I went too quickly and made a mistake typing out

its okay, thanks man i really appreciate it.

a = 2000 as above. Scrap the rest and go from here...

\[f(16)=a+b \sqrt{t}=2000+b \sqrt{16}=2000+4b=18000\]

so\[b=\frac{18000-2000}{4}=4000\]

So \[f(t)=2000+4000\sqrt{t}\]

Are you okay with this?

yea I am thanks man

feel free to 'fan' me ;)

ok i will