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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: 65x445<=y... but when I do it it doesn't match up to any of the multiple choice answers.
 one year ago
 one year ago
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: 65x445<=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

JakeV8Best ResponseYou've already chosen the best response.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

JakeV8Best ResponseYou've already chosen the best response.1
wait, that might have an error in it... lemme double check
 one year ago

AGummiBear55Best ResponseYou've already chosen the best response.0
okay... I'm a little confused... lol.
 one year ago

JakeV8Best ResponseYou've already chosen the best response.1
I think that's right... but guessing stinks. Let's think about it :)
 one year ago

JakeV8Best ResponseYou've already chosen the best response.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

JakeV8Best ResponseYou've already chosen the best response.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

JakeV8Best ResponseYou've already chosen the best response.1
But that's the most he could have left... if he pays more, y will be smaller.
 one year ago

JakeV8Best ResponseYou've already chosen the best response.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

JakeV8Best ResponseYou've already chosen the best response.1
This is a little tricky, isn't it? :)
 one year ago

AGummiBear55Best ResponseYou've already chosen the best response.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

JakeV8Best ResponseYou've already chosen the best response.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

AGummiBear55Best ResponseYou've already chosen the best response.0
5 weeks would be 120, right?
 one year ago

JakeV8Best ResponseYou've already chosen the best response.1
weeks y must be less than or equal... 5 445  325 = 120 6 445  390 = 55
 one year ago

JakeV8Best ResponseYou've already chosen the best response.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

JakeV8Best ResponseYou've already chosen the best response.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

AGummiBear55Best ResponseYou've already chosen the best response.0
okay... I'm kinda getting you but it's still a little confusing... :/
 one year ago

JakeV8Best ResponseYou've already chosen the best response.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

AGummiBear55Best ResponseYou've already chosen the best response.0
AHHH!!! I GET IT!!! :O :D Thankkkkkk you!!!!
 one year ago

AGummiBear55Best ResponseYou've already chosen the best response.0
DEFIANTLY best response. :)
 one year ago

JakeV8Best ResponseYou've already chosen the best response.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

JakeV8Best ResponseYou've already chosen the best response.1
Good luck :) Gotta run...
 one year ago

AGummiBear55Best ResponseYou've already chosen the best response.0
haha... well I'm glad it made sense to you because then it made sense to me. :)
 one year ago

JakeV8Best ResponseYou've already chosen the best response.1
Yep :) It all worked out...
 one year ago
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