BiologyGenetics

Mastering Biology Chapter 14: How Can a Test Cross Reveal a Pea Plant’s Genotype?

Cross the unknown green-pod plant with a homozygous recessive yellow-pod plant. Yellow offspring prove the green parent is heterozygous; all-green offspring support, but do not conclusively prove, homozygosity.

Question

A botanist has acquired a group of pea plants. All of the plants have yellow pea pods (the recessive trait), except for one plant with green pea pods (the dominant trait). Pea pod color is caused by a single gene.How could the botanist best determine whether the genotype of the green-pod plant is homozygous or heterozygous?- Cross the green-pod plant with a yellow-pod plant.- Cross the green-pod plant with another green-pod plant.- Self-pollinate the green-pod plant.

Answer

The best choice is:

Cross the green-pod plant with a yellow-pod plant.

This is a test cross. Let GG represent the dominant green-pod allele and gg the recessive yellow-pod allele. A yellow-pod plant must be gggg, while the green-pod plant could be either GGGG or GgGg.

If the unknown plant is homozygous dominant

GG×gg100% GgGG\times gg\longrightarrow100\%\ Gg

All offspring are expected to have green pods.

If the unknown plant is heterozygous

Gg×gg12Gg+12ggGg\times gg\longrightarrow\frac12Gg+\frac12gg

About half the offspring are expected to have green pods and half yellow pods. Any yellow-pod offspring must have received gg from the unknown green-pod parent, proving that parent was heterozygous.

With a small number of offspring, an all-green result is still possible by chance from a heterozygous parent. For NN independent offspring, that probability is (1/2)N(1/2)^N, so more offspring provide stronger evidence for GGGG.

Evidence boundary

The predicted outcomes assume one gene, complete dominance, equal allele segregation, random fertilization, and no genotype-dependent survival. A yellow-pod offspring establishes heterozygosity under this model; a finite all-green sample does not prove homozygous dominance with certainty.

Sources

These references support the concepts and methods used in the explanation above.

Mastering Biology Chapter 14 Test Cross Answer | Verla