Question

At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-member does not pay the membership fee, but does pay an additional 5% above the store prices. Write and solve a system of equations to represent this situation where is the store price and is the total amount paid.xy

Answer 1

`y = 25 + x` --- Members

`y = 1.05x` --- Non-members

Explanation:

Given

`x \to store\ price`

`y\to total\ amount`

Members

`Membership =\$25`

Non-members

`Rate = 5\%` increase

For the members, the equation is:

`y = Membership + Store\ price`

`y = 25 + x`

For non-members, the equation is:

`y = Store\ price * (1 + Rate)`

`y = x * (1 + 5\%)`

`y = x * (1.05)`

`y = 1.05x`