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?

y ≥ $445 - $65x

y ≥ $445 + $65x

y ≤ $445 + $65x

y ≤ $445 - $65x

Question

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?

y ≥ $445 - $65x

y ≥ $445 + $65x

y ≤ $445 + $65x

y ≤ $445 - $65x

anonymous · Answer

key points: debt starts at 445 and as time passes each week it is reduced by ATLEAST 65 so it could be reduced by more. REDUCED implies a minus and the term ATLEAST implies the debt will be less than or equal to the right side because he could pay back more and so reduce the debt further.

anonymous · Answer

y ≥ $445 - $65x?

anonymous · Answer

Almost, you need to think about the term "atleast" it means that every week he will pay atleast 65 back so every week it will be reduced by atleast 65, so it could be reduced by more so the debt could be smaller than what the reduction of 65 per week would show.