Respuesta :
Answer:
The relationship of the number of months and the total amount paid is proportional for both Hanks and Lynn.
Step-by-step 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
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.
Therefore, the relationship between the number of months and the total amount paid is proportional to both Hank's and Lynn's loans. (Answer)