/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 19 In the pearl-millet plant, color... [FREE SOLUTION] | 91Ó°ÊÓ

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In the pearl-millet plant, color is determined by three alleles at a single locus: \(R p^{1}(\mathrm{red}), R p^{2}\) (purple), and \(r p\) (green). Red is dominant over purple and green, and purple is dominant over green \(\left(R p^{1}>R p^{2}>r p\right)\). Give the expected phenotypes and ratios of offspring produced by the following crosses. a. \(R p^{1} / R p^{2} \times R p^{1} / r p\) b. \(R p^{1} / r p \times R p^{2} / r p\) c. \(R p^{1} / R p^{2} \times R p^{1} / R p^{2}\) d. \(R p^{2} / r p \times r p / r p\) e. \(r p / r p \times R p^{1} / R p^{2}\)

Short Answer

Expert verified
Cross (a): 3 red : 1 purple, (b): 1 red : 1 red : 1 purple : 1 green, (c): 3 red : 1 purple, (d): 1 purple : 1 green, (e): 1 red : 1 purple : 1 green.

Step by step solution

01

Understand allele dominance

In this problem, there are three alleles at a single locus that determine the color in pearl-millet plants: \(R p^{1}\) (red), \(R p^{2}\) (purple), and \(r p\) (green). The dominance hierarchy is \(R p^{1} > R p^{2} > r p\). Red is dominant over both purple and green, and purple is dominant over green.
02

Determine phenotype ratios for each cross

For each cross, we list possible combinations of alleles and their corresponding phenotypes. Using dominance rules, determine which phenotype will be expressed based on available alleles from parents.
03

Solve for part a: \(R p^{1} / R p^{2} \times R p^{1} / r p\)

Possible offspring: \(R p^{1} / R p^{1}\), \(R p^{1} / R p^{2}\), \(R p^{1} / r p\), \(R p^{2} / r p\). All combinations except \(R p^{2} / r p\) result in red (because \(R p^{1}\) is present). The resulting ratio is 3 red : 1 purple.
04

Solve for part b: \(R p^{1} / r p \times R p^{2} / r p\)

Possible offspring: \(R p^{1} / R p^{2}\), \(R p^{1} / r p\), \(R p^{2} / r p\), \(r p / r p\). \(R p^{1} / R p^{2}\) and \(R p^{1} / r p\) result in red, \(R p^{2} / r p\) results in purple, and \(r p / r p\) results in green. The ratio is 1 red : 1 red : 1 purple : 1 green.
05

Solve for part c: \(R p^{1} / R p^{2} \times R p^{1} / R p^{2}\)

Possible offspring: \(R p^{1} / R p^{1}\), \(R p^{1} / R p^{2}\), \(R p^{2} / R p^{2}\). All combinations result in red because \(R p^{1}\) is dominant. The ratio is 3 red : 1 purple.
06

Solve for part d: \(R p^{2} / r p \times r p / r p\)

Possible offspring: \(R p^{2} / r p\) and \(r p / r p\). \(R p^{2} / r p\) results in purple, and \(r p / r p\) results in green. The ratio is 1 purple : 1 green.
07

Solve for part e: \(r p / r p \times R p^{1} / R p^{2}\)

Possible offspring: \(R p^{1} / r p\), \(R p^{2} / r p\), \(r p / r p\). \(R p^{1} / r p\) results in red, \(R p^{2} / r p\) results in purple, and \(r p / r p\) results in green. The ratio is 1 red : 1 purple : 1 green.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Allele Dominance
In genetic inheritance, **allele dominance** refers to the phenomenon where one allele masks or suppresses the expression of another allele at the same locus. In the case of pearl-millet, there are three alleles involved: \(R p^{1}\) for red, \(R p^{2}\) for purple, and \(r p\) for green. The dominance hierarchy is clear: red \((R p^{1})\) is dominant over both purple \((R p^{2})\) and green \((r p)\), while purple \((R p^{2})\) is dominant over green \((r p)\). This means that if a plant has even one red allele \((R p^{1})\), its phenotype will be red, because the presence of red dominates over the other colors. Similarly, a purple allele \((R p^{2})\) will show its color only in the absence of a red allele but will mask the green allele \((r p)\). It's important to understand these dominance relationships to predict the phenotypes of hybrids, as the dominant allele masks the effects of a recessive one in a heterozygous pairing.
Phenotypic Ratios
When crossing different genotypes in plants like the pearl-millet, we can determine **phenotypic ratios**, which describe the proportion of different visible traits in the offspring. Due to allele dominance, even if mixed genes are present, the dominant allele defines the appearance. Here's how you might think about it:
  • If a plant inherits \(R p^{1}\) from either parent, the offspring will be red because red is dominant over both purple and green.
  • If the plant inherits \(R p^{2}\) from both parents without \(R p^{1}\), then it will be purple.
  • Green only exhibits itself when neither red \(R p^{1}\) nor purple \(R p^{2}\) alleles are present.
Using these principles, you can work out the expected phenotypic ratios for various crosses, such as a ratio of 3 red: 1 purple given in a particular scenario, showing how allele dominance affects the visible outcomes in offspring.
Genotype and Phenotype
**Genotype and phenotype** are two key concepts in genetics, particularly in understanding inheritance patterns. A "genotype" is the genetic makeup of an organism—the combination of alleles that the organism carries. For instance, in pearl-millet, genotypes like \(R p^{1}/R p^{2}\) and \(R p^{2}/r p\) show different combinations of the red, purple, and green alleles."Phenotype" is what we can see—it is the observable traits that result from the genotype, influenced by allele dominance. So, a plant with the genotype \(R p^{1}/r p\) will appear red because the red allele dominates. Meanwhile, a plant with the genotype \(r p/r p\) will actually appear green since both alleles are identical and green is the only remaining expression.These concepts help to predict which traits will be seen in the offspring given their genetic makeup, allowing for the inference of how certain alleles will be expressed phenotypically.

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