If Hailey buys 10 shirts at 10% off and each shirt costs s dollars, which expression is NOT equivalent to the situation?

Question

Responses
A 9s9s
B 10s − 0.10(10s)10s − 0.10(10s)
C 10s − 0.10s10s − 0.10s
D 10s − 1s

Answer 1

To find the expression that is NOT equivalent to the situation where Hailey buys 10 shirts at 10% off, we can start by calculating the total cost of the shirts after the discount.

1. The original cost for 10 shirts at \( s \) dollars each is \( 10s \).
2. The discount is 10% of \( 10s \), which is \( 0.10 \times 10s = s \).
3. Therefore, the total cost after the discount is \( 10s - s = 9s \).

Now, we can evaluate the provided responses:

A. \( 9s \)

• This one is equivalent to the total cost after the discount.

B. \( 10s - 0.10(10s) \)

• This can be simplified as \( 10s - s = 9s \), which is equivalent.

C. \( 10s - 0.10s \)

• This simplifies to \( 10s - 0.1s = 9.9s \), which is NOT equivalent since it does not represent the correct discount.

D. \( 10s - 1s \)

• This simplifies to \( 9s \), which is equivalent.

The expression that is NOT equivalent to the situation is:

C: \( 10s - 0.10s \)