A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

write the equation for the exponential function that passes through the points (0.5) and (1,15)

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

    Hm. I assume an exponential function means in the form \(y = ae^x\)?

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

    yes

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

    Ok, so you basically have two equations and two unknowns if you plug in your two values: \[\begin{align} y &= ae^x\\ 5 &= ae^0\\ 15 &= ae^1 \end{align}\] You have a huge advantage because one of the equations is \(ae^0\). What's e^0?

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

    hey shadow

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

    shadow youre missing something. y = Ae^(kt). there should be an A and a k. or two parameters. Shadow, you have one parameter , just the a.

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

    or if you want to use x, then y = Ae^(kx)

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

    Absolutely right -- had looked at it a little further earlier and there were some holes in the reasoning. teekay hadn't gotten back yet, though, so I figured I'd wait. Thanks!

  8. 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.