A large cup of iced coffee at the local shop costs 
\[\$8\]. The sales tax is 
\[5.6\%\].
What is the total for the iced coffee, including sales tax, to the nearest cent?

To find the total cost of the iced coffee, including sales tax, we need to calculate the sales tax and then add it to the initial price.

### Step 1: Calculate the sales tax
The sales tax rate is 5.6%, which can be written as a decimal:
\[
5.6\% = 0.056
\]
Now, calculate the sales tax on an \$8 iced coffee:
\[
\text{Sales Tax} = 8 \times 0.056 = 0.448
\]

### Step 2: Add the sales tax to the price of the coffee
The total cost is the sum of the original price and the sales tax:
\[
\text{Total Cost} = 8 + 0.448 = 8.448
\]

### Step 3: Round to the nearest cent
The total cost rounded to the nearest cent is:
\[
\boxed{8.45}
\]

So, the total cost for the iced coffee, including sales tax, is **\$8.45**.

Would you like more details or have any questions? Here are some related questions:

1. How would the total change if the tax rate were 7%?
2. What would the sales tax be if the coffee cost \$10 instead of \$8?
3. How can you convert a percentage into a decimal more generally?
4. How do rounding rules affect the final total?
5. What is the difference between simple sales tax and compound sales tax?

**Tip:** To convert any percentage to a decimal, divide the percentage by 100. For example, 5.6% becomes 0.056.

A large cup of iced coffee at the local shop costs $8. The sales tax is 5.6%. What is the total for the iced coffee, including sales tax, to the nearest cent?

Learn how to calculate the total cost of a large iced coffee priced at $8, including 5.6% sales tax. This step-by-step solution covers sales tax calculation, decimal conversion, and rounding, ideal for students in Grades 6-8.

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