Rudolph borrowed $650 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $76 from his paycheck each week. Assuming Rudolph sticks to his promise, which of the following is not a possible scenario for the amount of debt Rudolph has remaining?
After 5 weeks, Rudolph is $285 in debt.
After 6 weeks, Rudolph is $185 in debt.
After 7 weeks, Rudolph is $100 in debt.
After 8 weeks, Rudolph is $40 in debt.

Question

Rudolph borrowed $650 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $76 from his paycheck each week. Assuming Rudolph sticks to his promise, which of the following is not a possible scenario for the amount of debt Rudolph has remaining? 
 After 5 weeks, Rudolph is $285 in debt. 
 After 6 weeks, Rudolph is $185 in debt. 
 After 7 weeks, Rudolph is $100 in debt. 
 After 8 weeks, Rudolph is $40 in debt.

tyteen4a03 · Answer

The expression for finding out the payment Rudolph still owns after x weeks is 650 - 76x. Substitute the value and see if it is consistent with the remaining debt.