Question

.Kara wants to buy a game that is on sale. The original price of the game is p, but it is on sale for 30% off the original price. She uses the expression p(1−0.3) to model the price.
Which expressions are equivalent to Kara’s expression? Select all correct answers.
Responses
p−0.3
1−0.3p
0.7p
p−0.3p
1.3p

Answer 1

To find expressions equivalent to Kara’s expression \( p(1 - 0.3) \), we first simplify her expression:

1. Calculate \( 1 - 0.3 \):
\[
1 - 0.3 = 0.7
\]

2. Thus, her expression simplifies to:
\[
p \times 0.7 = 0.7p
\]

Now, we can evaluate the provided options to find which expressions are equivalent to \( 0.7p \):

1. **\( p - 0.3 \)**: This simplifies to \( p - 0.3 \), which is not equivalent to \( 0.7p \).

2. **\( 1 - 0.3p \)**: This expression is \( 1 - 0.3p \), which is not equivalent to \( 0.7p \).

3. **\( 0.7p \)**: This is exactly the expression we derived.

4. **\( p - 0.3p \)**: This simplifies to \( (1 - 0.3)p = 0.7p \), which is equivalent to \( 0.7p \).

5. **\( 1.3p \)**: This expression is not equivalent to \( 0.7p \).

Thus, the correct answers that are equivalent to Kara's expression \( p(1 - 0.3) \) are:

- **\( 0.7p \)**
- **\( p - 0.3p \)**