Final answer:
The California state sales tax rate is determined to be 6.50% when the tax amount of $7.54 on a purchase of $116.00 is calculated and then converted into a percentage.
Step-by-step explanation:
To determine the sales tax rate in California from the information provided, you need to use the following formula: Amount of sales tax = price × rate of sales tax. To find the rate, we rearrange the formula to solve for the rate: rate of sales tax = Amount of sales tax / price.
Using the figures given, we calculate the rate as follows:
rate of sales tax = $7.54 / $116.00
rate of sales tax = 0.065 (approximately)
To express this as a percentage, you multiply by 100:
tax rate = 0.065 × 100
tax rate = 6.50%
After rounding to the nearest hundredth of a percent, the California state sales tax rate would be 6.50%.