Question

a certain species of grasshopper can have red stripes, yellow stripes, or red and yellow stripes. an rr grasshopper has red stripes, a yy grasshopper has yellow stripes, and an ry grasshopper has red and yellow stripes.
a grasshopper with red stripes mates with a grasshopper with yellow stripes.
what ratio would be expected in the phenotypes of their offspring?
2 with red stripes: 2 with yellow stripes
all with red stripes
all with yellow and red stripes
1 with red stripes: 2 with red and yellow stripes: 1 with yellow stripes

Explanation:

Step1: Determine Genotypes of Parents

The grasshopper with red stripes has genotype \( RR \) (since \( RR \) gives red stripes), and the one with yellow stripes has genotype \( YY \) (since \( YY \) gives yellow stripes).

Step2: Determine Gametes Produced

The \( RR \) grasshopper can only produce gametes with the \( R \) allele (because all its alleles are \( R \)), so all gametes are \( R \). The \( YY \) grasshopper can only produce gametes with the \( Y \) allele (because all its alleles are \( Y \)), so all gametes are \( Y \).

Step3: Determine Offspring Genotypes

When we cross these two (using a Punnett square or direct combination), each offspring will receive one \( R \) from the red - striped parent and one \( Y \) from the yellow - striped parent. So all offspring will have the genotype \( RY \).

Step4: Determine Phenotypes of Offspring

From the problem, we know that a grasshopper with genotype \( RY \) has red and yellow stripes. So all offspring will have red and yellow stripes.

Answer:

all with yellow and red stripes