To predict the number of cheese slices sold, we first need to find the proportion of patrons that prefer Cheese pizza.
Total number of patrons surveyed = 9 + 5 + 6 + 7 = 27
Proportion of patrons that prefer Cheese pizza = 9/27 = 1/3
Now, to predict the number of cheese slices sold out of 1,299 slices, we multiply the total number of slices by the proportion of patrons that prefer Cheese pizza:
1/3 * 1299 = 433
Therefore, the predicted number of cheese slices sold is 433.
Answer: 433 patrons