Really need help 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.

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

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1