A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

I'll give a medal again please help!! Juliana has created the function f(x) = the quantity of 3x plus 2, divided by 4 to represent the cost of texting on her current plan, where x represents the number of texts. Juliana discovers that, using the inverse function to solve for x = 24, she can predict how many texts she can use for $24. Explain to Juliana how to accomplish this, using complete sentences.

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

    The equation that Juliana created is \[f(x)=\frac{ 3x+2 }{ 4 }\]. Plug in 24 for x. She wants to be able to know the amount of texts she can send with $24. Solve the equation by dividing.

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

    so it would 3x+2= 4 right?

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

    So I just realized that your problem says find the inverse function.. Okay, to find the inverse of the function, you need to set f(x) into y and exchange the positions of y and x in the equation then solve for y. \[f(x)=\frac{ 3x+2 }{ 4 }\] would turn into \[y=\frac{ 3x+2 }{ 4 }\] \[x=\frac{ 3y+2 }{ 4 }\] From here, isolate the y value.

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

    By isolating the value, you need to put 3y on one side of the equation.

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

    so 3y+2 over 4

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

    Work from \[x=\frac{ 3y+2 }{ 4 }\] Isolate the y by multiplying both sides of the equation with 4. By multiplying both sides of the equation by 4, it will cancel out dividing the 4 on the y side.

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

    After you've multiplied both sides by 4, the equation is now 4x = 3y + 2. You have to subtract 2 from both sides of the equation again to isolate y.

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

    do i subtract the 2 from the y or x

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

    You subtract them from both.

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

    You have to get y by itself. After you've subtract 2 from both sides, 3y is still on one side of the equation. How would you get 3y to turn into y?

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

    by multiply the 3y right

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

    No, you divide the 3y to get 3. Now, the equation is \[y = \frac{ 4x+2 }{ 3y }\] That's the inverse function of the original function that Juliana created. Now, plug in 24 for x.

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

    "\[x=\frac{4x-2 }{ 3 }\]" sorry my mistake

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

    Now what do i do?

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

    Do you want to this in private chat?

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

    Plug in 24 for x. That's the last calculation

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

    so 24x-2 over 3

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

    \[x=\frac{4(24)-2 }{ 3 }\]

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

    ok i check that and divide it i got a decimal , is that fine?

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

    You possibly can't have a decimal as the answer. Julianna can't send a half of a text. You need to calculate the numerator first. Then, divide the numerator by the denominator.

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

    i did

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

    But there's still a decimal

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

    Well, try to do the first part of the actual equation. What is 4 * 24?

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

    ok, that is 96

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

    Subtract 2 from 96.

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

    -94

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

    96 - 2 is 94. Divide by 3. Round your answer so that it doesn't have any decimals.

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

    31

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

    Correct

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

    Thank you so much!!

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

    did you get your medal?

  32. 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.