Final answer:
The size of the model Earth should be 127.4 inches.
Step-by-step explanation:
To determine the size of the model Earth, we need to divide the actual diameter of the Earth by the scale factor. The scale factor is given as 100 km per inch. So, to find the size of the model Earth, we divide 12,740 kilometers by 100 km per inch. This gives us 127.4 inches, which is the correct answer.