To find the total potential revenue from popcorn sales, we start by calculating how many servings can be made from the available popcorn kernels.
First, we need to convert the total grams of popcorn kernels into servings:
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Calculate the total number of servings:
- Total popcorn kernels: 19,717 grams
- Each serving uses 196 grams.
\[ \text{Number of servings} = \frac{\text{Total grams of popcorn}}{\text{Grams per serving}} = \frac{19,717 \text{ grams}}{196 \text{ grams/serving}} \approx 100.09 \]
Since we cannot have a fraction of a serving, we round down to the nearest whole number, which means they can make approximately 100 servings.
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Calculate the potential revenue:
- Each serving sells for $5.
- Total revenue = Number of servings × Price per serving.
\[ \text{Total revenue} = 100 \text{ servings} \times 5 \text{ dollars/serving} = 500 \text{ dollars}. \]
So, if all the popcorn is sold, the carnival can make approximately $500 in potential revenue.
Therefore, the answer is B. $500.