Question 1122557: 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. If x represents the number of weeks and y represents his debt, which linear inequality represents the amount of debt Michael has remaining? (3 points)
y ≥ $445 - $65x
y ≥ $445 + $65x
y ≤ $445 - $65x
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? (2 points)
After 3 weeks, Michael is $225 in debt.
After 4 weeks, Michael is $200 in debt.
After 5 weeks, Michael is $115 in debt.
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! he owes 445-65x, where x is the number of weeks.
This is "at least," so he may pay back more, which means the debt may be less.
so debt is y<= 445-65x
After three weeks, he has paid off $195, leaving $250. He could have paid off more, so $225 is possible.
After four weeks, he has a debt no more than $185, he can't be $200 in debt. ANSWER
After five weeks, he has a debt no more than $120, so $115 is possible.
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