Final answer:
To calculate the percentage of sales tax Sadie paid, we understand that the original price was multiplied by the factor of 1.045, meaning the tax rate was 4.5%. To find the amount of sales tax, convert the tax rate from a percentage to a decimal and multiply it by the original cost, and then add it to the original price. She paid a 4.5% 0f tax.
Step-by-step explanation:
To calculate the percent tax Sadie paid, we look at the factor she multiplied the price by. Since the total cost equals the price plus tax, and she multiplied by 1.045, we can conclude the tax rate was 4.5%.
This is because the 1 represents 100% of the original price, and the 0.045 is the additional 4.5% that represents the sales tax.
In another example, if Emily bought a jacket for $85 with a sales tax of 7.5%, the amount of sales tax she paid can be found by converting 7.5% to a decimal and multiplying by the price of the jacket: $85 × 0.075, which equals $6.375.
Adding this back to the original price, the total cost of the jacket would then be $85 + $6.375 = $91.375.
Using these methods to calculate tax, we can always convert a percentage to a decimal, multiply it by the cost, and then add that amount to the original price to find the total cost including tax.