Final answer:
Landon will probably eat two slices of the homemade pizza.
Step-by-step explanation:
To determine how many slices of pizza Landon will probably eat from a homemade pizza cut into 8 rectangular pieces, we need to compare the size of the homemade pizza with the size of the pizza Landon usually eats. The homemade pizza measures 10 inches by 15 inches, which means the total area is 150 square inches. Each rectangular slice will have an area of 150/8 = 18.75 square inches.
Now, let's compare this with the pizza Landon usually eats. The 12-inch pizza has a radius of 6 inches, and each slice will have an area of (pi * 6^2)/6 = 18.85 square inches (rounded to two decimal places).
Since the area of each slice of the homemade pizza is slightly smaller than the area of each slice of the pizza Landon usually eats, he will probably eat two slices of the homemade pizza as well.