Question

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.

Answer 1

QUESTION 1. y ≥ $825 - $85x

QUESTION 2. after 5 weeks, Marlin is $410 win debt.

Explanation:

At week 5, Marlin owed a maximum of $400 if he made his $85 payments on time. $410 > $400 which indicates that Marlin would not have kept his word regarding the payments.

y=mx+b

outstanding debt = (-85)x+825

if assumed that debt will be paid at least to schedule you get

y <= -85x+825 or -y>=85x-825

Answer 2

A and C

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 question

After 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