Final answer:
To find the sales tax from a total amount of $1166 with a 6% tax rate, divide the total by 1.06 to get the original price and subtract it from the total. The approximate tax amount is $66.
Step-by-step explanation:
The student wants to find out how much sales tax is included in a total amount of $1166 when the sales tax rate is 6%.
To calculate the amount that is tax, the total amount should be divided by 1.06 since the total represents 100% of the original price plus an additional 6% for tax.
To find just the tax amount, we subtract the original price (100%) from the total.
Here's the step-by-step calculation:
- Convert the sales tax rate to decimal: 6% = 0.06.
- Divide the total amount by 1.06 to find the original price before tax: $1166 / 1.06 = $1100 (approximately).
- Subtract the original price from the total amount to find the amount of sales tax: $1166 - $1100 = $66.
Therefore, the amount of sales tax is approximately $66 when rounded to the nearest dollar.