Questions: In a city that applies 6.5% sales tax, what is the total amount of money a person will pay for a bag of candy?
Product, Cost per Item, Subject to Sales Tax?
Bag of Candy, 8.00, Yes
Loaf of Bread, 5.00, No
Round to the nearest cent.
Transcript text: In a city that applies $6.5 \%$ sales tax, what is the total amount of money a person will pay for a bag of candy?
\begin{tabular}{|l|r|c|}
\hline Product & Cost per Item & Subject to Sales Tax? \\
\hline Bag of Candy & $\$ 8.00$ & Yes \\
\hline Loaf of Bread & $\$ 5.00$ & No \\
\hline
\end{tabular}
Round to the nearest cent.
Solution
Solution Steps
To find the total amount of money a person will pay for a bag of candy in a city that applies a 6.5% sales tax, we need to:
Calculate the sales tax on the bag of candy.
Add the sales tax to the original cost of the bag of candy.
Round the result to the nearest cent.
Step 1: Calculate Sales Tax
The sales tax on the bag of candy can be calculated using the formula:
\[
\text{Sales Tax} = \text{Cost of Candy} \times \text{Sales Tax Rate}
\]
Substituting the values:
\[
\text{Sales Tax} = 8.00 \times 0.065 = 0.52
\]
Step 2: Calculate Total Cost
The total cost is the sum of the original cost and the sales tax:
\[
\text{Total Cost} = \text{Cost of Candy} + \text{Sales Tax}
\]
Substituting the values:
\[
\text{Total Cost} = 8.00 + 0.52 = 8.52
\]
Step 3: Round to the Nearest Cent
The total cost is already at two decimal places, so rounding is not necessary:
\[
\text{Total Cost Rounded} = 8.52
\]
Final Answer
The total amount of money a person will pay for a bag of candy is \\(\boxed{8.52}\\).