Question

Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid 3.99 for each additional compact disc purchased. If a preferred customer purchased a total of 6 compact discs and paid $15.95 for the first compact disc, then the dollar amount that the customer paid for the 6 compact discs is equivalent to which of the following?

• A. 5(4.00) + 15.90
• B. 5(4.00) + 15.95
• C. 5(4.00) + 16.00
• D. 5(4.00 - 0.01) + 15.90
• E. 5(4.00 - 0.05) + 15.95

Hint:

When calculating the cost for multiple items with a discount, always break it into parts: fixed cost for the first item, and variable cost for the rest.

Answer 1

The Correct Option is A

Step 1: Total cost for the first compact disc.
The customer paid $15.95 for the first compact disc.
Step 2: Total cost for the next 5 compact discs.
The price for each additional compact disc is $3.99. So, for 5 additional compact discs, the cost is:
5 × 4.00 = 20.00
Step 3: Final cost calculation.
Thus, the total amount paid is the cost of the first compact disc plus the cost of the additional discs:
Total cost = 5(4.00) + 15.90
Final Expression:
5(4.00) + 15.90