Final answer:
The reason why they want to see Barker Bakes where mom works is because they want to see the bakery.
Step-by-step explanation:
The reason why they want to see Barker Bakes where mom works could be any of the given options. However, the most likely reason would be option 3) Because they want to see the bakery. Going to the bakery would allow them to see the bakery equipment, the process of making baked goods, and perhaps even taste some samples.