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23 October, 04:17

Hank and Lynn are both paying off car loans.

• Hank paid $2,000 up front when he bought his car, and he pays $200 each month.

• Lynn did not pay any money up front when she bought her car, and she pays $275 each

month.

Is the relationship between the number of months and the total amount paid proportional

for both Hank's and Lynn's loans?

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Answers (1)
  1. 23 October, 06:32
    0
    The relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.

    Step-by-step explanation:

    Hank and Lynn are both paying off car loans.

    Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

    Therefore, the total amount paid (C (h)) after x months by given by

    C (h) = 2000 + 200x ... (1)

    So, this relation is proportional but not directly proportional.

    Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

    Therefore, the total amount paid (C (l)) after x months by given by

    C (l) = 275x ... (2)

    So, this is a directly proportional relation which is also proportional.

    Therefore, the relationship between the number of months and the total amount paid is proportional to both Hank's and Lynn's loans. (Answer)
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