Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

AGummiBear55 Group Title

Michael borrowed $445 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $65 from his paycheck each week. Which of the following is not a possible scenario for the amount of debt Michael has remaining? After 3 weeks, Michael is $225 in debt. After 4 weeks, Michael is $200 in debt. After 5 weeks, Michael is $115 in debt. After 6 weeks, Michael is $45 in debt. I know you use: 65x-445<=y... but when I do it it doesn't match up to any of the multiple choice answers.

  • one year ago
  • one year ago

  • This Question is Closed
  1. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You just have your inequality mixed up a little... Try: y <= 445 - 65x This means the amount left must be less than or equal the starting 445 - 65 for each week.

    • one year ago
  2. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    wait, that might have an error in it... lemme double check

    • one year ago
  3. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    okay... I'm a little confused... lol.

    • one year ago
  4. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think that's right... but guessing stinks. Let's think about it :)

    • one year ago
  5. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    he will pay back at least $65 per week, so the amount paid back each week is >= 65x Does that make sense?

    • one year ago
  6. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes...

    • one year ago
  7. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    So, if he starts owing 445, and he pays back exactly 65 per week, then it would be:: 445 - 65x = y

    • one year ago
  8. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    right...

    • one year ago
  9. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    But that's the most he could have left... if he pays more, y will be smaller.

    • one year ago
  10. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    so it appears that was right :) 445 - 65x >= y if he doesn't pay more, then y will be = 445 - 65x If he pays more, y will be less than 445 - 65x

    • one year ago
  11. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    This is a little tricky, isn't it? :)

    • one year ago
  12. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah... but I get it so far... it's just when you put all the numbers in and they don't match up to any of the answers I'm given I'm, like, AHH!!

    • one year ago
  13. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    So, maybe a table would help: x weeks y, if paying exactly 65 ------- ----------------- 1 445 - 65 = 380 <<< your answer must be less than this 2 445 - 130 = 315 3 445 - 195 = 250 4 445 - 260 = 185

    • one year ago
  14. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    5 weeks would be -120, right?

    • one year ago
  15. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    weeks y must be less than or equal... 5 445 - 325 = 120 6 445 - 390 = 55

    • one year ago
  16. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yep, you're right...

    • one year ago
  17. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    take another look at week 4... Week 4 y must be <= 445 - 260, so y <= 185 But your answer for week 4 says y = $200

    • one year ago
  18. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    If he pays exactly $65 for 4 weeks, he will still owe 185. But he might pay more and owe less. But there's no way he can pay at least $65 and still owe $200... y must be less than or equal 445 - (4)(65), or less than or equal 185.

    • one year ago
  19. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    okay... I'm kinda getting you but it's still a little confusing... :/

    • one year ago
  20. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I agree :(

    • one year ago
  21. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    lol.

    • one year ago
  22. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You basically need to find those pairs for each value of x... that is the most that y could be. If any answer shows y more than your pairs show it, then that's the answer that is impossible, which is what they asked you. I don't know if you like graphing :) but in graph terms, the inequality is bordered by a line that looks like y = 445 - 65x or y = -65x + 445 and since the inequality is a "less than or equal", then the graph would be shaded below that line. So, the answer for week 4 said "y = 200" but that's a point outside your shaded region. All the other answers fall underneath the line and inside the shaded region.

    • one year ago
  23. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    AHHH!!! I GET IT!!! :O :D Thankkkkkk you!!!!

    • one year ago
  24. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    DEFIANTLY best response. :)

    • one year ago
  25. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Glad to hear it :) and I'm happy to help... This was confusing... but glad you finally saw it. I thought I saw it quickly, then as you saw, I talked myself into a circle before it made sense again.

    • one year ago
  26. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Good luck :) Gotta run...

    • one year ago
  27. AGummiBear55 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    haha... well I'm glad it made sense to you because then it made sense to me. :)

    • one year ago
  28. JakeV8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yep :) It all worked out...

    • one year ago
    • Attachments:

See more questions >>>

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.