Yes, I can solve this!

We are tasked with finding the correct expression that represents the total amount Julieta paid, including sales tax.

Step-by-Step Solution:

1. Cost per pencil: $0.30

2. Number of pencils: $p$

   • Total cost before tax is $0.30p$.

3. Sales tax rate: $5.75\%$, which is $0.0575$ as a decimal.

   • The amount of tax is calculated as: $\text{Tax} = \text{Total Cost Before Tax} \times \text{Tax Rate}$ $\text{Tax} = 0.30p \times 0.0575$

4. Total amount including tax:

   • Add the tax to the total cost: $\text{Total Amount} = 0.30p + (0.30p \times 0.0575)$

   • Factor out $0.30p$: $\text{Total Amount} = 0.30p (1 + 0.0575)$

   • Simplify: $\text{Total Amount} = 0.30p \times 1.0575$

Final Expression:

The total amount Julieta paid, including tax, is: $1.0575p$

Correct Answer:

The correct option is: 1.0575p

Would you like me to explain any part further? 😊

5 Related Questions:

1. What is the purpose of factoring in $1 + \text{Tax Rate}$ in these types of problems?
2. How would the expression change if the tax rate were 10% instead of 5.75%?
3. If Julieta bought 10 pencils, what would the total cost including tax be?
4. How is the decimal form of a percentage (like $0.0575$) calculated from the original percentage?
5. How can this problem be represented as a function of $p$?

Tip:

Always convert percentages to decimals before performing calculations. Divide by 100 to avoid mistakes!