Final answer:
The actual selling price of Becky's Apple computer is calculated by dividing the total price paid by the sum of 1 plus the sales tax rate as a decimal. The result is $1,136.79, which corresponds to option D.
Step-by-step explanation:
When Becky bought an Apple computer for $1,205, this price included a 6% sales tax. To find the actual selling price of the computer without sales tax, you first convert the 6% sales tax to decimal form by dividing 6 by 100, which gives 0.06.
Next, add 1 to the sales tax rate to find out how much of the total cost is made up of the cost of the product itself plus the sales tax: 1 + 0.06 = 1.06. Then, you divide the total price paid by this number to find the actual selling price of the computer:
Total Price Paid / (1 + Tax Rate) = Selling Price
$1,205 / 1.06 = $1,136.79
Therefore, the actual selling price of the computer was $1,136.79, which corresponds to option D.