Let's walk through the steps to solve this problem:
1. Calculate the subtotal:
- First, identify the prices of each item you have purchased.
- The bag of sugar costs [tex]$2.50.
- The sandwich costs $[/tex]1.75.
- Add the costs of these items to find the subtotal.
[tex]\[
\text{Subtotal} = 2.50 + 1.75 = 4.25
\][/tex]
2. Calculate the total amount including the sales tax:
- The sales tax rate is [tex]$7\%$[/tex], which can be written as a decimal: [tex]$0.07$[/tex].
- To find the total amount including the sales tax, multiply the subtotal by [tex]$(1 + \text{Sales Tax Rate})$[/tex], where the Sales Tax Rate is [tex]$0.07$[/tex].
[tex]\[
\text{Total Amount} = \text{Subtotal} \times (1 + 0.07)
\][/tex]
- Plug in the subtotal calculated earlier:
[tex]\[
\text{Total Amount} = 4.25 \times 1.07 = 4.5475
\][/tex]
- Round the total to two decimal places to get the final total amount.
[tex]\[
\text{Total Amount} \approx 4.55
\][/tex]
So, the total amount you will pay is [tex]$\$[/tex]4.55[tex]$.
Therefore, the correct answer is:
A) \$[/tex]4.55.
