To predict the number of cheese slices sold, we need to find the proportion of patrons who prefer cheese pizza, and then apply that proportion to the total number of slices sold.
First, we calculate the total number of patrons surveyed:
9 + 5 + 6 + 7 = 27 patrons
Next, we find the proportion of patrons who prefer cheese pizza:
9 cheese patrons / 27 total patrons = 0.3333
Finally, we apply this proportion to the total number of slices sold:
0.3333 x 1299 slices = 433 slices
Therefore, the marching band is predicted to sell 433 slices of cheese pizza.