A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Given the function \(f(x) = 5^x\), Section A goes from \(x = 0\) to \(x = 1\). Section B goes from \(x = 2\) to \(x = 3\). Part A: Find the average rate of change for each section. Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.

  • This Question is Closed
  1. Excalibur0126
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What's the question?

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

    I'm not too sure how to do this @Excalibur0126

    1 Attachment
  3. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 5

    formula to find average rate of change (slope ) \[\huge\rm \frac{ y_2 -y_1 }{ x_2 -x_1 }\] given: x = 0 and x=1 substitute x for 0 and for 1 into \[\rm f(x)=5^x\]to find y `f(x) is same as y

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

    0 is x^1? what is x^2 and y^2? @Nnesha

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

    it's not x^2 (not squared) \[\huge\rm y_2\] means 2nd y you need two order pairs to find slope (x , y)(x,y) (0 , ?) ( 1,y) you should find y value when x = 0 so replace x with 0 \[\huge\rm f(0)=5^{0}\] f(0)= ??

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

    exponent rule anything to the zero power is one \[\rm (anything)^0 = 1 ~~~(x)^0=1 \]

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

    So what are the steps to doing something like this in the simplest terms? @Nnesha

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

    well first step) find y when x=0 , x=1 2nd step) find y when x=2 and x=3 when you get all y values then you can apply slope formula to find average rate of change

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

    \[\huge\rm f(0)=5^0 ~~~~~~f(1)=5^1\] like i said f(x) is same as y so you replace f(0) and f(1) with y \[\large\rm y=5^0 ~~~~~~~~~~y=5^1\] simplify that^^ (0 , ?)( 1,?) when x=0 , y = ?? when x=1 y =what ? write your answer where i put the question marks

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

    does it make sence ?

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

    sense *

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

    I have no idea whats hapenning @Nnesha

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

    5^0 = ?

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

    5 to the zero power equal to what ?

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

    5?

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

    no did you read my comments ^^??

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

    *1 (im kind of slow with math)

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

    yes right so when x=0 y = 1 (0 ,1) now replace x with 1 \[y=5^1\] 5^1 is same as 5 right so when x =1 y=5 (0 , 1)(1,5) two order pairs now you can use slope formula to find average rate of change

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

    thats y2 - y1 over x2 - x1?

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

    yes right use these two points (0,1)(1,5)

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

    5-1 over 1-0?

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

    4 over 1 is the slope?

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

    perfect! that's average rate of change when x=0 and x=1 now

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

    now find y when x=2 and x=3

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

    section B^

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

    (x=2 y=25) (x=3 y=125)

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

    great now find slope!

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

    100 over 1?

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

    nice now you can write answer for PART B

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

    Wait what was the answer for part A?

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

    find average rate of change of `each` section average rate of change = `slope` we just found the answer

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

    Its just the two slopes?

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

    yes right!

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

    oh okay so For A should I write 4 over 1 and 100 over 1?

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

    2/1 is same as 2 so 4/1 is same as 4

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

    so i write 4 and 100?

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

    ye

  38. 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.