The equation to find Caroline's total food sales is 8.25x + 0.15x = 263.25.
To find the equation to determine Caroline's total food sales, we need to understand that her total earnings are a combination of her hourly wage and her tips. Let's set up the equation step by step:
The equation should begin with her base earnings: $8.25 multiplied by the number of hours she works, which is x.
Then, we add her tips, which are 15% of her food sales. This can be represented as 0.15x.
Finally, we set the equation equal to her total earnings of $263.25.
Putting it all together, the equation is: 8.25x + 0.15x = 263.25.
Therefore, the answer is option A. 0.15.