A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

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 .

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay...

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its okay, thanks man i really appreciate it.

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Are you okay with this?

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yea I am thanks man

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    feel free to 'fan' me ;)

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i will

  16. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.