Question

Really need helpllllll!!!!!

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? Use the drop-down menus to explain your answer.

Click the arrows to choose an answer from each menu.

Answer 1

The relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.

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)

Answer 2

The relationship of the number of months and the total amount paid is proportional for both Hanks and Lynn.

Explanation:

Let us divide the equation into 2 parts.

Hanks

Hank paid $2000 up front when he bought the car and he pays $200 every month. Therefore, the total amount paid (y) and the number of month (x)can be expressed as follows.

Let

x = number of month

y = total amount paid

y = 2000 + 200x

The relationship between amount paid and the number of months is proportional

Lynn

She did not paid anything upfront but she paid $275 every month. Therefore,

x = number of month

y = total amount paid

y = 275x

This relationship between amount paid and number of month is directly proportional