Final answer:
To determine the total cost after tax, we calculate the sales tax by converting the percentage to a decimal and multiplying it by the item's cost, and then add it to the original price. None of the given options are correct; the total after tax should be $165.10.
Step-by-step explanation:
To find the total cost after tax for Nick’s binoculars purchase, we will first calculate the amount of sales tax and then add it to the original price. The original price of the binoculars is $155.75, and the sales tax rate is 6%. To find the sales tax, we convert the percentage to a decimal (6% = 0.06) and multiply it by the cost of the item:
$155.75 × 0.06 = $9.345
Next, we round the sales tax to the nearest cent, which gives us $9.35. We then add the sales tax to the original price to find the total cost:
$155.75 + $9.35 = $165.10
Therefore, none of the provided options (A, B, C, or D) are correct. The correct total cost after tax should be $165.10.