https://file.aiquickdraw.com/mathbot/file/1727294735583n555c5nz.jpg

The problem in the image asks us to compute the sales tax and total cost of a purchase.

Let's break it down:

1. **Purchase amount:** $611.11
2. **Sales tax rate:** 5.2%

### Step 1: Compute the sales tax
The formula for sales tax is:
\[
\text{{Sales tax}} = \text{{Purchase amount}} \times \frac{{\text{{Sales tax rate}}}}{100}
\]
\[
\text{{Sales tax}} = 611.11 \times \frac{5.2}{100} = 611.11 \times 0.052
\]

### Step 2: Compute the total cost
\[
\text{{Total cost}} = \text{{Purchase amount}} + \text{{Sales tax}}
\]

Let me calculate this.The calculations are as follows:

1. **Sales tax:** $31.78 (rounded to the nearest cent).
2. **Total cost of the purchase:** $642.89 (rounded to the nearest cent).

Do you want further explanation on any of these steps? Here are a few related questions to expand on this topic:

1. How can we apply different tax rates to the same purchase amount?
2. What happens if there is a discount before tax is applied?
3. How does rounding affect the final result in financial calculations?
4. Can tax rates vary between regions for the same product?
5. How do you compute sales tax for multiple items in a single purchase?

**Tip:** Always ensure your sales tax rate is applied correctly based on the local regulations!

Suppose you make a purchase for $611.11. The sales tax for this purchase is 5.2%. Compute the tax. Round your answer to the nearest cent. Compute the cost of the purchase. Round your answer to the nearest cent.

Learn how to calculate the sales tax and total cost of a purchase worth $611.11 with a 5.2% sales tax. This example walks through the necessary percentage calculations and arithmetic operations, suitable for students in Grades 6-8.

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