Question

13.
A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.

Answer 1

To find the total cost of the shoes using the formula \( C = p + rp \), we will follow these steps:

1. Identify the variables:
- \( p \) (price of the shoes) = $52.99
- \( r \) (sales tax rate) = 8% = 0.08 (as a decimal)

2. Calculate the sales tax amount (\( rp \)):
\( rp = r \times p = 0.08 \times 52.99 \)

\[
rp = 0.08 \times 52.99 = 4.2392
\]

Rounding to two decimal places (since we're dealing with currency), the sales tax is approximately $4.24.

3. Now, calculate the total cost \( C \):
\[
C = p + rp = 52.99 + 4.24
\]

\[
C = 57.23
\]

Therefore, the total cost of the shoes is **$57.23**.