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You go to a grocery store and buy:
- A \[tex]$2.50 bag of sugar
- A sandwich for \$[/tex]1.75

The sales tax for your state is [tex]\(7\%\)[/tex].

What is the total amount you will pay?

1. Calculate the subtotal (add the items purchased).
2. Multiply the subtotal by [tex]\((1 + \text{Sales Tax Rate})\)[/tex].

A. \[tex]$4.55
B. \$[/tex]4.47
C. \$4.22


Sagot :

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.