To determine how many of the next 2,000 pizzas should be expected to be "pan style," we need to calculate the proportion of pan-style pizzas sold and then apply this proportion to the new total.

Here's how we can solve it step-by-step:

1. Find the total number of pizzas sold: $307 + 236 + 167 + 198 = 908$

2. Calculate the proportion of pan-style pizzas: The number of pan-style pizzas sold was 198, so the proportion of pan-style pizzas is: $\frac{198}{908}$

3. Apply this proportion to the next 2,000 pizzas: $\frac{198}{908} \times 2000$

4. Calculate the result: $\frac{198}{908} \times 2000 \approx 436$

So, the owner should expect to sell approximately 436 pan-style pizzas out of the next 2,000 pizzas.

Would you like a detailed explanation of each step or have any questions?

Here are some related questions for further practice:

1. If the next batch of pizzas was 1,500 instead of 2,000, how many pan-style pizzas should be expected?
2. What percentage of the total pizzas sold last week were thin crust?
3. If the trend continues, how many stuffed crust pizzas should the owner expect in the next 2,000 pizzas?
4. How would the expected number of thick crust pizzas change if the total sales increased to 3,000 pizzas?
5. How many total pizzas should the owner expect to sell if he anticipates selling 500 thin crust pizzas next week?

Tip: When calculating proportions for predictions, ensure that your initial dataset accurately reflects the expected future trend.