Is the relationship between the number of months and the total amount paid proportional for both Hank's and Lynn's loans? Use the drop-down menus to explain your answer.

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.  

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