To find the total number of bagels produced by Bagel Emporium on Saturday, we can set up the problem using the information given.
Let's denote the total number of bagels produced as \( x \).
According to the problem, 8% of the total amount of bagels produced is equal to 416 bagels. We can express this mathematically as:
\[ 0.08x = 416 \]
To find \( x \), we can solve for it by dividing both sides of the equation by 0.08:
\[ x = \frac{416}{0.08} \]
Calculating this gives:
\[ x = 5200 \]
So, the total number of bagels produced on Saturday is 5,200. Therefore, the correct answer is:
D. 5,200