Robert borrowed $750 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $67 from his paycheck each week. Assuming Robert sticks to his promise, which of the following is not a possible scenario for the amount of debt Robert has remaining?
After 5 weeks, Robert is $150 in debt. After 6 weeks, Robert is $200 in debt. After 7 weeks, Robert is $250 in debt. After 8 weeks, Robert is $300 in debt.
My answer is #4 because if he paid $67 a week for 8 weeks he would only owe $214
I would agree with you because it is the farthest from the actual amount.
thank you
Your answer is correct. If Robert pays $67 from his paycheck each week for 8 weeks, the total amount he would have paid is $536 ($67 x 8 = $536). Therefore, he would owe $214 ($750 - $536 = $214) after 8 weeks, not $300. So, option 4 is not a possible scenario for the amount of debt Robert has remaining.
To confirm your answer, let's calculate the remaining debt for each scenario:
Scenario 1 (5 weeks):
Initial debt: $750
Weekly payment: $67
Debt after 5 weeks: 750 - (5 * 67) = $405 (not $150)
Scenario 2 (6 weeks):
Initial debt: $750
Weekly payment: $67
Debt after 6 weeks: 750 - (6 * 67) = $378 (not $200)
Scenario 3 (7 weeks):
Initial debt: $750
Weekly payment: $67
Debt after 7 weeks: 750 - (7 * 67) = $351 (not $250)
Scenario 4 (8 weeks):
Initial debt: $750
Weekly payment: $67
Debt after 8 weeks: 750 - (8 * 67) = $324 (not $300)
So you are correct, scenario #4 is not possible. After 8 weeks, Robert should have a remaining debt of $324, not $300.