Q:

Please help. I think 1 is A, and 2 is C?Marlin borrowed $825 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $85 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 Marlin has remaining? A. y ≥ $85x - $825 B. y ≤ $85x - $825 C. y ≥ $85x + $825 D. y ≤ $85x + $825 Marlin borrowed $825 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $85 from his paycheck each week. Which of the following is not a possible scenario for the amount of debt Marlin has remaining?A. After 3 weeks, Marlin is $555 in debt.B. After 4 weeks, Marlin is $465 in debt.C. After 5 weeks, Marlin is $410 in debt.D. After 6 weeks, Marlin is $300 in debt.

Accepted Solution

A:
Answer:A and CStep-by-step explanation:X is the number of weeks, so it is a possitive number. As the debt reduces while weeks advance, then there should be a substraction between total debt and payments, therefore options C and D are not possible Debt would start as a negative number in -825, and would reduce up to zero.  You know that you he can pay more but not less than  85 per week, so suppouse he pays more than 85, let's say $100, then the debt should be 100-825=-725 that is larger than 85-825=-740. So The option A represent the amount of debt 2  questionAfter 3 weeks Martin has payed at least: 85*3=255. So debt is not more tha 825-255=570, so scenario A is possible With the sema logic, after 4 wekks debt is not larger than: 825-4*85=485, so option B is possible After 5 weeks: debt is not larger than= 825-5*85=400. So scenario C is NOT possible After 6 weeks debt is not larger than 825-6*85=315, so scenario D is possible