Final answer:
After calculating a 30% discount on the $650 TV, the sale price comes to $455. With a 7.25% sales tax, the final total is $461.50 at the cash register. Option b.
Step-by-step explanation:
To determine the total cost of the TV at the cash register, we first calculate the discount and then apply the sales tax to the discounted price. Since the original price of the TV is $650 and it is on sale for 30% off, we calculate the discount amount as follows:
$650 × 0.30 = $195
This means the TV is discounted by $195. We then subtract this amount from the original price to find the sale price:
$650 - $195 = $455
Next, we need to calculate the sales tax on the sale price. The tax rate is 7.25%, so we convert this percentage to a decimal and multiply it by the sale price:
$455 × 0.0725 = $32.99
We then add the sales tax to the sale price to find the total cost at the cash register:
$455 + $32.99 = $461.50
So Option b is the correct answer.