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anonymous
 5 years ago
i have a question i was just wondering if anyone would be able to help me get started. Suppose a population is growing in a profile which is shaped like the function y= f(x)= the squareroot of x, so demographers have decided to model this population growth by the equation p= a+b(squareroot of t) , and have determined that initially (at relative time ) the population was 2000 and 16 years later the population was 18000. Determine values for the parameters a and b .
anonymous
 5 years ago
i have a question i was just wondering if anyone would be able to help me get started. Suppose a population is growing in a profile which is shaped like the function y= f(x)= the squareroot of x, so demographers have decided to model this population growth by the equation p= a+b(squareroot of t) , and have determined that initially (at relative time ) the population was 2000 and 16 years later the population was 18000. Determine values for the parameters a and b .

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You're given the fact they want to model the population growth as\[f(t)=a+b \sqrt{t}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You're told that, at time 0, f(0)=2000, so\[f(0)=2000=a + b \sqrt{0}=a\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and at time t=16, you have\[f(16)=18000=b \sqrt{16}=4b\]so b = 18000/4 = 4500

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[f(t)=2000+4500\sqrt{t}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry  I went too quickly and made a mistake typing out

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0its okay, thanks man i really appreciate it.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0a = 2000 as above. Scrap the rest and go from here...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[f(16)=a+b \sqrt{t}=2000+b \sqrt{16}=2000+4b=18000\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so\[b=\frac{180002000}{4}=4000\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So \[f(t)=2000+4000\sqrt{t}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Are you okay with this?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0feel free to 'fan' me ;)
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