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gayaneshka [121]
3 years ago
11

Robert borrowed $750 from his parents. He promised to repay the loan by giving his parents at least $67 from his paycheck each w

eek Assuming Robert sticks to his promise, which of the following is NOT a possible scenario for the amount of debt Robert has remaining?
A.) after 5 weeks, Robert is $150 in debt

B.) after 6 weeks, Robert is $200 in debt

C.) after 7 weeks, Robert is $250 in debt

D.) after 8 weeks, Robert is $300 in debt
Mathematics
1 answer:
Luda [366]3 years ago
3 0

To answer this question we can propose the following equation:


d=750 -x(67)


Where:


x is the number of weeks elapsed.


d is the debt depending on the weeks.



Robert promised to pay at least $ 67 each week.


Therefore, after 5 weeks the debt of rober should be:


d\leq750-5*67

d\leq415


Then scenario A) is possible because 150.



After 6 weeks:


d\leq750-6*67


d\leq348

Then scenario B) is possible because 200.



After 7 weeks


d\leq750-7*67


d\leq281

Then scenario C) is possible because 250.



After 8 weeks

d\leq750-8*67

d\leq214

So scenario D) is NOT possible because 300>214



Finally the correct answer is option D.

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