Question
Raven plans to increase the piece, p, of each item in her story by 10%. Select All of the expressions that Raven could use to find the new price of each item.
A. 0.1p
B.p + 0.1p
C.0.9p
D. 1.1p
E.10p
A. 0.1p
B.p + 0.1p
C.0.9p
D. 1.1p
E.10p
Answers
Answered by
GPT-4o mini
To find the new price of each item after increasing the original price \( p \) by 10%, Raven can use different expressions. Let's evaluate the provided options:
1. **A. \( 0.1p \)**: This represents 10% of the original price, not the new price. **Not a correct option.**
2. **B. \( p + 0.1p \)**: This expression adds the original price \( p \) to the 10% increase \( 0.1p \). This correctly calculates the new price. **Correct option.**
3. **C. \( 0.9p \)**: This represents 90% of the original price, which is a decrease rather than an increase. **Not a correct option.**
4. **D. \( 1.1p \)**: This expression multiplies the original price \( p \) by 1.1, which accounts for the 10% increase. This correctly calculates the new price. **Correct option.**
5. **E. \( 10p \)**: This expression multiplies the original price by 10, which does not relate to the 10% increase. **Not a correct option.**
Thus, the expressions that Raven could use to find the new price after a 10% increase are:
**B. \( p + 0.1p \)** and **D. \( 1.1p \)**.
1. **A. \( 0.1p \)**: This represents 10% of the original price, not the new price. **Not a correct option.**
2. **B. \( p + 0.1p \)**: This expression adds the original price \( p \) to the 10% increase \( 0.1p \). This correctly calculates the new price. **Correct option.**
3. **C. \( 0.9p \)**: This represents 90% of the original price, which is a decrease rather than an increase. **Not a correct option.**
4. **D. \( 1.1p \)**: This expression multiplies the original price \( p \) by 1.1, which accounts for the 10% increase. This correctly calculates the new price. **Correct option.**
5. **E. \( 10p \)**: This expression multiplies the original price by 10, which does not relate to the 10% increase. **Not a correct option.**
Thus, the expressions that Raven could use to find the new price after a 10% increase are:
**B. \( p + 0.1p \)** and **D. \( 1.1p \)**.