Suppose Alani could modify option A and still pay off the bike in 5 weeks. Describe the relationship between the down payment and the weekly payments.

y = 5x + 180

Step-by-step explanation:

The question is incomplete. The complete question is stated below:

Alani wants to buy a $360 bicycle. She is considering two payment

options. The image shows Option A, which consists of making an initial down payment then smaller, equal-sized weekly payments. Option B consists of making 6 equal payments over 6 weeks.

A) What factors should Alani take into consideration before deciding

between Option A and Option B?

B) Suppose Alani could modify Option A and still pay off the bike in 5 weeks. Describe the relationship between the down payment and the weekly payments.

The image would be sent as an attachment.

SOLUTION:

We would only be providing answer to question B as it corresponds to the question being asked in

To solve this question, we would apply slope intercept form to get a linear equation:

y = mx + c

m = slope, c= constant

Option A initially involves making an initial down payment together with smaller, equal-sized weekly payments.

Modification of Option A: weekly payment would be done in 5weeks while down payment amount would be assumed to be half of total payment. Also it is assumed there is 0% interest rate.

As it is constant, Let the initial down payment = c

c = 1/2 * total payment

c = 1/2 * $360 = $180

m = 5weeks

y = total amount to be paid for the bike

y = $360

x = amount to be paid weekly after the down payment.

Relationship between down payment and weekly payment:

y = mx + c

mx = y-c

x = (y - c)/ m

y = 5x + c

y = 5x + 180