A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Brad can make 4 key chains in an hour. Velma can make only 3 key chains in an hour, but she already has 6 completed key chains. Explain to Brad how he can use a system of equations to determine when he will have the same number of key chains as Velma. Please explain each step too?

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

    Let t represent the amount of hours.

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

    Say molly can make 3 keys per hour than the number of keys per hour she can make is given by the expression 3t so can you make an expression for Brad?

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

    so it's the number of key chains multiplied by the amount of hours?

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

    no. M(t)=3t because Molly can make 3 keys per hour for example when t=1 hour then M=3 this means she has made 3 keys in 1 hour if t=2 then M=3+3=6 this mean she has made 6 keys in 2 hours because she can make 3 keys in 1 hour

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

    Say Velma has already made 2 keys and can make 5 keys an hour. So her function would be V(t)=2+5t because at 0 hours V=2 which this means before she began she had 2 completed keys at t=1 she would have V=7 this means she has had 7 completed keys after 1 hour

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

    You can find when they have the same number of keys by setting M(t)=V(t) by solving the following for t: 3t=2+5t

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

    So try making an expression for Brad and Velma.

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

    okay, one second while i do that.

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

    Oops didn't realize you had a velma someone said something about velma so i thought she wasn't being used

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

    my velma is different from your velma

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

    Brad can make 4 key chains in an hour. This means in 1 hour he can make 4. In 2 hours he can make 4+4=2(4)=8. In 3 hours he can make 4+4+4=3(4)=12. So in t hours he can make t*4 or 4t is how it is normally written. B(t)=4t. Do you see how I came up with that?

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

    do i have it right so far? Let (t) represent the amount of hours. Let (V) represent Velma and (B) for Brad. Since Velma is able to make 3 key chains per hour, vt = 3t. Brad will be able find when he will have the same number of key chains by setting B(t)=V(t) Solve for (t). 4t = 6 + 3t

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

    you did it !: )

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

    B(t)=4t and V(t)=6+3t

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

    4t=3t+6 try subtract 3t on both sides

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

    Solve for (t). 4t = 6 + 3t Subtract 3t on both sides. 4t - 3t = 6 + 3t - 3t Dive 1t by both sides. 1t = 6 t=6

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

    is that correct?

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

    yeah! :) so in 6 hours they will have same amount of key chains made

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

    np sorry for using you velma in my example

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

    :p

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

    no worries

  22. 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.