To analyze the cross between a white-eyed male and a heterozygous female for red eye color in Drosophila melanogaster (fruit flies), we first need to define the alleles involved.
- Let \( R \) represent the allele for red eyes (dominant).
- Let \( r \) represent the allele for white eyes (recessive).
In this case:
- The white-eyed male has the genotype \( rY \) (because males have only one X chromosome).
- The heterozygous female has the genotype \( Rr \).
Now, let’s set up the Punnett square for their offspring:
- Male (rY) gametes: \( r \) and \( Y \)
- Female (Rr) gametes: \( R \) and \( r \)
The possible combinations from the Punnett square would be:
| | R | r | |---------|---------|---------| | r | Rr | rr | | Y | RY | rY |
From this Punnett square, we can see the resulting genotypes of the offspring:
- \( Rr \) - Red eyes (heterozygous)
- \( rr \) - White eyes (homozygous recessive)
- \( RY \) - Red eyes (hemizygous male)
- \( rY \) - White eyes (hemizygous male)
Counting the results:
- \( Rr \) - 1 (red-eyed female)
- \( rr \) - 1 (white-eyed female)
- \( RY \) - 1 (red-eyed male)
- \( rY \) - 1 (white-eyed male)
Thus, the offspring's phenotypic ratio would be:
- Red-eyed: \( 2 \) (1 \( Rr \) female + 1 \( RY \) male)
- White-eyed: \( 2 \) (1 \( rr \) female + 1 \( rY \) male)
The ratio of red-eyed to white-eyed offspring would therefore be 2:2, which simplifies to 1:1.