Certainly! Let's break down the steps to solve the problem of finding the tax amount and the total price of a hat, given an original price and a tax rate.
### Step-by-Step Solution:
1. Identify the original price and tax rate:
- The original price of the hat is \$15.50.
- The tax rate is 2%.
2. Convert the tax rate to a decimal:
- A percentage needs to be converted to a decimal for multiplication.
- 2% as a decimal is \( \frac{2}{100} = 0.02 \).
3. Calculate the amount of tax:
- To find the amount of tax, multiply the original price by the tax rate in decimal form.
- Tax amount = Original price \(\times\) Tax rate
- Tax amount = \$15.50 \(\times\) 0.02
- Tax amount = \$0.31
4. Calculate the total price including tax:
- To find the total price, add the tax amount to the original price.
- Total price = Original price + Tax amount
- Total price = \[tex]$15.50 + \$[/tex]0.31
- Total price = \$15.81
### Summary:
- Tax amount: \$0.31
- Total price including tax: \$15.81
Thus, the tax on a hat priced at \[tex]$15.50 with a 2% tax rate amounts to \$[/tex]0.31, bringing the total price to \$15.81.
