Question

Difficulty: MediumMendel's First Law and Monohybrid Inheritance

In guinea pigs (*Cavia porcellus*), the allele for rough coat (RR) is completely dominant over the allele for smooth coat (rr). Match each parental cross listed in the left column with its correct expected offspring genotypic or phenotypic ratio in the right column.

  • Heterozygous rough coat (RrRr) ×\times Heterozygous rough coat (RrRr)3 : 1 phenotypic ratio of rough coat to smooth coat
  • Heterozygous rough coat (RrRr) ×\times Homozygous smooth coat (rrrr)1 : 1 phenotypic ratio of rough coat to smooth coat
  • Homozygous rough coat (RRRR) ×\times Homozygous smooth coat (rrrr)100% rough coat phenotype (100% RrRr genotype)
  • Homozygous rough coat (RRRR) ×\times Heterozygous rough coat (RrRr)100% rough coat phenotype (1 : 1 genotypic ratio of RR:RrRR : Rr)

Answer

Heterozygous cross (Rr×RrRr \times Rr) matches 3 : 1 phenotypic ratio of rough coat to smooth coat; Heterozygous testcross (Rr×rrRr \times rr) matches 1 : 1 phenotypic ratio of rough coat to smooth coat; Pure-breeding cross (RR×rrRR \times rr) matches 100% rough coat phenotype (100% RrRr genotype); Dominant backcross (RR×RrRR \times Rr) matches 100% rough coat phenotype (1 : 1 genotypic ratio of RR:RrRR : Rr).
Each parental genotype combination directly produces specific gamete combinations according to Mendel's Law of Segregation. Crossing two heterozygotes (Rr×RrRr \times Rr) yields a 3 : 1 phenotypic ratio; crossing a heterozygote with a recessive homozygote (Rr×rrRr \times rr) yields a 1 : 1 ratio; crossing pure-breeding opposite homozygotes (RR×rrRR \times rr) produces 100% heterozygous offspring (RrRr); and crossing a homozygous dominant with a heterozygote (RR×RrRR \times Rr) produces 100% dominant phenotypically with equal proportions of RRRR and RrRr genotypes.

Step-by-Step Solution

1
Determine gametes and Punnett square for Rr×RrRr \times Rr.
Gametes are RR and rr from each parent. Offspring genotypes: 1 RR:2 Rr:1 rr1\ RR : 2\ Rr : 1\ rr.
Mendel's Law of Segregation states alleles segregate during gamete formation, resulting in a 3 : 1 phenotypic ratio of dominant (rough) to recessive (smooth).
2
Determine offspring for testcross Rr×rrRr \times rr.
Gametes from heterozygous parent are RR and rr; gametes from homozygous recessive parent are all rr. Offspring genotypes: 1 Rr:1 rr1\ Rr : 1\ rr.
Half the offspring express the dominant phenotype and half express the recessive phenotype, giving a 1 : 1 ratio.
3
Determine offspring for RR×rrRR \times rr.
All gametes from RRRR are RR, all gametes from rrrr are rr. All offspring are RrRr.
100% of the F1 generation is heterozygous and displays the dominant rough coat phenotype.
4
Determine offspring for RR×RrRR \times Rr.
Gametes are RR (from RRRR) and R,rR, r (from RrRr). Offspring genotypes: 1 RR:1 Rr1\ RR : 1\ Rr.
All offspring inherit at least one RR allele, so 100% show the rough coat phenotype, with a 1 : 1 ratio between RRRR and RrRr genotypes.

Key Concept

Mendel's First Law (Law of Segregation) and Monohybrid Cross Ratios
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