Final answer:
To find James's total sales for the week when he earned 432 dollars, we use the fact that he earns 5% of his sales, and that his regular earnings of 324 dollars also represent 5% of his usual sales. After calculations, it appears there might be an error with the provided answer choices because James's total sales should be 8,640 dollars, which is not listed.
Step-by-step explanation:
To find James's total sales for the week when he earns 432 dollars, we must first understand that the 324 dollars he earns regularly is 5% of his weekly sales. Since one week he earned an additional 108 dollars (432 - 324 dollars), we need to calculate the total amount of sales that result in this additional income.
The equation to find the sales (S) will look like this:
5% of S = 108 dollars
0.05 * S = 108 dollars
S = 108 dollars / 0.05
S = 2,160 dollars
However, since the 108 dollars represent the additional earnings on top of the regular 324 dollars, we need to add the sales that correspond to the regular earnings to the 2,160 dollars.
5% of S = 324 dollars
0.05 * S = 324 dollars
S = 324 dollars / 0.05
S = 6,480 dollars
Therefore, the total sales when James earns 432 dollars are:
Sales for regular earnings (6,480 dollars) + Sales for additional earnings (2,160 dollars) = 8,640 dollars
Upon checking the answer choices, none match this calculation, suggesting there might be an error in the provided options. The correct calculation should reveal that James's total sales for the week he earned 432 dollars is 8,640 dollars.