To find out how much change Britney should receive, first we need to calculate the total cost of the shirt and hat:
Cost of the shirt: $34.04
Cost of the hat: $19.18
Total cost = Cost of the shirt + Cost of the hat
Total cost = $34.04 + $19.18
Total cost = $53.22
Now, subtract the total cost from the amount Britney gave to the sales clerk:
Change = Amount given - Total cost
Change = $100.00 - $53.22
Change = $46.78
Therefore, the correct answer is A. $46.78.