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?

Question

Mathematics

Peyton Downs

19 April, 15:13

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?

+4

Answers (1)

Know the Answer?

Williams · Answer 1

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)