Question

Amazon sells large boxes of 234 diapers for $46.99. They offer a 20% discount to people willing to join Amazon Family, but that membership costs $99 per year. So you have two equations to write: One equation will be based on buying boxes of diapers at a discount while paying for the membership and the other equation will be based on buying boxes of diapers at full price (no membership).

Answer 1

Let the number of boxes be x .

Each box contains 234 diapers .

Case 1 : WITH MEMBERSHIP

Buying a box will cost $46.99

Thus , x boxes will cost $46.99x

If they take membership which cost $99 a year , they get 20% discount.

Thus , Discount = 20% of $46.99x = 9.398x

Membership cost = $99 (fixed cost)

Thus , equation for a person with membership is:

46.99x - 9.398x + 99

37.592x + 99 where x is number of boxes.

Case 2 : WITHOUT MEMBERSHIP

Buying a box will cost $46.99

Thus, buying x boxes will cost $46.99x

Thus , equation for a person without membership is :

46.99x where x is the number of boxes.

Please like the answer,Thanks!