Final answer:
The expected color of the flower in the first year F1 progeny would be purple because the purple color trait is dominant over the white color trait in pea plants.
Step-by-step explanation:
The expected color of the flower in the first year F1 progeny would be purple.
When the API plant with blue color flower (denoted by BB) is crossbred with a pea plant with white color flower (denoted by bb), the resulting F1 progeny will have the genotype Bb.
In pea plants, the purple color (B) is dominant over the white color (b), so the F1 progeny will exhibit the purple color trait.