A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Please help I will medal/fan (NO DIRECT ANSWERS) :) A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days: f(n) = 8(1.05)^n Part C: What is the average rate of change of the function f(n) from n = 2 to n = 6, and what does it represent?

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

    Please help @mathway @misty1212 @Australopithecus

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

    I know that aroc=\[\frac{ f(b)-f(a) }{b-a }\]

  3. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so you could try \(\frac{f(6)-f(2)}{6-2}\) ?

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

    the average is then 1. I know that the f(b) and f(a) are the y values, and b and a are the x values. @IrishBoy123

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

    \[\frac{ y2-y1 }{ x2-x1 }\]

  6. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\large \frac{8(1.05)^6 - 8(1.05)^2}{6-2}\) \(\large = 8\frac{(1.05)^6 - (1.05)^2}{4}\) \(\large = 2[(1.05)^6 - (1.05)^2]\) that's shouldn't give you 1

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

    okay then... this is a different equation. Could you help me solve it?

  8. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you see where it came from? the rest is just pumping it into a calculator

  9. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(f(n) = 8(1.05)^n\) so \(f(6) = 8(1.05)^6\) \(f(2) = 8(1.05)^2\)

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

    okay what exactly would I type into my calculator, it is not hard to get the numbers messed up. Sorry for being such a bish I woke up early.. :( @IrishBoy123

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

    The average rate of change is (change in height)/(change in n) The change in height is 10.72 - 8.82 = 1.9 The change in n is 6 - 2 = 4 So the average rate of change is 1.9/4 = 0.475 But what is the average rate of change? It is the average daily (because a single change in n corresponds to a day) growth of the plant (because f(n) represents height)

  12. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so you got the 0.475. good. and yes it is the average change per day. it is a simplification - ie assuming the change per day is the same - becauseit isn't this is an exponential so the change per day increases...

    1 Attachment
  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So everything I said was correct? @IrishBoy123 thanks!!

  14. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sounded good to me

  15. 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.