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. • Lynn did not pay any money upfront when she bought her car, and she pays $275 each month. Is the relationship between the number of months and the total amount paid proportionally for both Hank's and Lynn's loans?

the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.

Step-by-step explanation:

The relationship between the number of months and the total cost paid proportionally is shown below:-

Both Hank and Lynn pay off car loans.

When Hank bought his car, he paid $2,000 in advance, and he needs to pay $200 each month.

Thus, forward to x months the total cost paid (C(h)) is

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

So, that relationship is proportional, but not proportional directly.

When Lynn purchased her vehicle, she didn't pay any cash immediately front and she needs to pay $275 every month.

So, after x months the total amount paid (C(l)) is

C(l) = 275x (ii)

This is, therefore, a direct proportionality that is also proportional.

Furthermore the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32