the plutonians
the father is tt, gg, and ff
the mother is tt, gg, and ff
7. eyes
8. color of body
9. body covering
part c: based on the punnett squares, only one set of parents could possibly be allen’s. there is a 100% chance that allen’s family is:
table with columns alien trait, plutonian dad’s phenotype, plutonian mom’s phenotype and rows a. number of eyes (dad: two, mom: two), b. color of body (dad: green, mom: blue), c. body covering (dad: fur, mom: fur)

Question

Accepted Answer

To solve this, we analyze each trait:

### Trait a: Number of Eyes
Father: $ Tt $, Mother: $ Tt $. Punnett square for $ Tt \times Tt $ gives genotypes $ TT, Tt, Tt, tt $. But the given Punnett square for eyes (top) shows $ TT, Tt, Tt, tt $? Wait, no—wait, the father and mother for eyes are both $ Tt $. But the Punnett square drawn has $ TT, Tt, Tt, tt $? Wait, no, the first Punnett square (eyes) has rows/columns $ T, t $ and $ T, t $? Wait, no, the father is $ Tt $, mother is $ Tt $. The Punnett square for eyes:
- Father’s alleles: $ T, t $
- Mother’s alleles: $ T, t $
- Offspring: $ TT, Tt, Tt, tt $. But the drawn square has $ TT, Tt, Tt, tt $? Wait, no, the user’s drawn square for eyes has $ TT, Tt, Tt, tt $? Wait, the first square (eyes) has four cells: $ TT, Tt, Tt, tt $? Wait, no, the image shows the eyes Punnett square with $ TT, Tt, Tt, tt $? Wait, maybe I misread. Wait, the father is $ Tt $, mother is $ Tt $. So the Punnett square for eyes would have $ T $ and $ t $ from each.

### Trait b: Color of Body
Father: $ GG $, Mother: $ gg $. Punnett square for $ GG \times gg $ would be all $ Gg $. But the given square for color is empty? Wait, no, the second square (color) is empty. The father’s genotype for color is $ GG $, mother’s is $ gg $. So all offspring would be $ Gg $. But the table says Dad’s phenotype is “green”, Mom’s is “blue”. So if Dad is $ GG $ (green), Mom is $ gg $ (blue), offspring are $ Gg $ (probably green, if $ G $ is dominant). But the Punnett square for color is empty, so maybe not matching.

### Trait c: Body Covering
Father: $ FF $, Mother: $ Ff $. Punnett square for $ FF \times Ff $:
- Father’s alleles: $ F, F $
- Mother’s alleles: $ F, f $
- Offspring: $ FF, FF, Ff, Ff $. The drawn square for body covering has $ FF, FF, Ff, Ff $ (matches the third square).

Now, Part C: “Based on the Punnett squares, only one set of parents could possibly be Allen’s. There is a 100% chance that Allen’s family is: ______”

Wait, the table has three traits:
- a. Number of Eyes: Dad (Plutonian) phenotype “two”, Mom phenotype “two” (both $ Tt $? Wait, no, Dad’s genotype for eyes is $ Tt $, Mom’s is $ Tt $. So their phenotype for eyes is “two” (since $ T $ is dominant, assuming $ T $ = two eyes, $ t $ = maybe one? Wait, no, the phenotype for eyes is “two” for both. But if both are $ Tt $, offspring can have $ TT, Tt, Tt, tt $—so phenotype “two” (if $ T $ is dominant) or “one” (if $ tt $). So there’s a 25% chance of $ tt $ (one eye), so not 100% same as parents.

- b. Color of Body: Dad is $ GG $ (green), Mom is $ gg $ (blue). Offspring are $ Gg $ (green, if $ G $ is dominant). So Dad’s phenotype: green, Mom’s: blue, offspring: green. So phenotype doesn’t match Mom’s (blue), so not 100% same as parents.

- c. Body Covering: Dad is $ FF $ (fur? Wait, table says Dad’s phenotype “fur”? Wait, table: “Body Covering” row, Dad’s phenotype “fur”, Mom’s phenotype “fur”. Wait, Dad’s genotype $ FF $, Mom’s $ Ff $. So offspring are $ FF, FF, Ff, Ff $—all with “fur” phenotype (since $ F $ is dominant, $ F $ = fur, $ f $ = maybe not? Wait, Dad’s phenotype “fur” (genotype $ FF $), Mom’s phenotype “fur” (genotype $ Ff $). So offspring: $ FF $ (fur), $ FF $ (fur), $ Ff $ (fur), $ Ff $ (fur). So all offspring have “fur” phenotype, same as both parents. Also, the Punnett square for body covering matches $ FF \times Ff $ (cells $ FF, FF, Ff, Ff $).

For the other traits:
- Eyes: Parents $ Tt \times Tt $, offspring can be $ TT, Tt, Tt, tt $—phenotype “two eyes” (if $ T $ is dominant) or “one eye” (if $ tt $). So 25% chance of “one eye”, not 100% same as parents (who have “two eyes”).
- Color: Parents $ GG \times gg $, offspring $ Gg $ (green, if $ G $ dominant). Mom’s phenotype is “blue”, so offspring don’t match Mom’s phenotype, so not 100% same as both parents.

Only Body Covering (trait c) has parents where offspring all have the same phenotype as both parents (fur), and the Punnett square matches $ FF \times Ff $. Also, the table says Dad’s phenotype “fur”, Mom’s “fur”, so offspring “fur” (100% chance). The other traits have offspring with possible different phenotypes.

Thus, the family must be Plutonian? Wait, no—wait, the question says “There is a 100% chance that Allen’s family is: ______” (the table has “Plutonian Dad’s Phenotype” and “Plutonian Mom’s Phenotype”, and the blank is to fill “Plutonian” or “Neptunian”? Wait, the handwritten answer was “Neptunian”, but that’s wrong. Wait, no—wait, the table is “Plutonian Dad’s Phenotype” and “Plutonian Mom’s Phenotype”. Wait, maybe Allen’s family is Plutonian? Wait, no, the key is which trait has 100% match.

Wait, re-reading: “only one set of parents could possibly be Allen’s. There is a 100% chance that Allen’s family is: ______”

Looking at the traits:
- For Body Covering (trait c): Dad (Plutonian) phenotype “fur” (genotype $ FF $), Mom (Plutonian) phenotype “fur” (genotype $ Ff $). Offspring all “fur” (100% chance).
- For Eyes (trait a): Dad and Mom (Plutonian) phenotype “two” (genotype $ Tt $). Offspring can have “one” (25% chance), so not 100%.
- For Color (trait b): Dad (Plutonian) “green” ( $ GG $ ), Mom (Plutonian) “blue” ( $ gg $ ). Offspring “green” (100% if $ G $ dominant), but Mom’s phenotype is “blue”, so offspring don’t match Mom, so not 100% same as both parents.

Thus, only Body Covering (trait c) has parents (Plutonian) where offspring phenotype matches both parents 100%. So Allen’s family is Plutonian? Wait, the handwritten answer was “Neptunian”, but that’s incorrect. Wait, maybe I misread the table. Wait, the table says “Plutonian Dad’s Phenotype” and “Plutonian Mom’s Phenotype”. So Allen’s family is Plutonian? Wait, no—wait, the question is “There is a 100% chance that Allen’s family is: ______” (Plutonian or Neptunian). Wait, the table has “Plutonian Dad’s Phenotype” and “Plutonian Mom’s Phenotype”, so if Allen’s parents match these phenotypes (and genotypes) for the trait with 100% offspring match, then Allen’s family is Plutonian.

Wait, the key is: which trait has parents (Plutonian) where offspring must have the same phenotype as both parents (100% chance). For Body Covering: Dad (Plutonian) $ FF $ (fur), Mom (Plutonian) $ Ff $ (fur). Offspring: $ FF, FF, Ff, Ff $ (all fur). So 100% fur, same as both parents. For Eyes: Dad $ Tt $ (two), Mom $ Tt $ (two). Offspring: 75% two, 25% one (not 100%). For Color: Dad $ GG $ (green), Mom $ gg $ (blue). Offspring: 100% green (not blue, so Mom’s phenotype not matched). Thus, only Body Covering (trait c) has parents (Plutonian) with 100% offspring matching both parents’ phenotype. Thus, Allen’s family is Plutonian? Wait, but the handwritten answer was “Neptunian”—maybe I got it wrong. Wait, no—wait, the table says “Plutonian Dad’s Phenotype” and “Plutonian Mom’s Phenotype”, so if Allen’s parents are Plutonian, then the answer is Plutonian. But maybe the question is between Plutonian and Neptunian, and only one trait (Body Covering) matches Plutonian parents with 100% offspring match.

Alternatively, maybe the “Neptunian” was a mistake. Wait, the problem says “only one set of parents could possibly be Allen’s. There is a 100% chance that Allen’s family is: ______”

Given the Body Covering trait: Dad (Plutonian) $ FF $, Mom (Plutonian) $ Ff $, offspring all $ FF/Ff $ (fur), same as parents. For the other traits, the parents (Plutonian) would have offspring with different phenotypes (eyes: 25% one eye; color: 100% green, but Mom is blue). So only Body Covering matches Plutonian parents with 100% offspring phenotype match. Thus, Allen’s family is Plutonian? Wait, but the handwritten answer was “Neptunian”—maybe I misread the table. Wait, the table’s “Plutonian Dad’s Phenotype” for Body Covering is “fur”, “Plutonian Mom’s Phenotype” is “fur”. So if Allen’s parents are Plutonian, and the Body Covering trait has 100% offspring match, then Allen’s family is Plutonian.

But maybe the correct answer is Plutonian. Wait, the user’s handwritten answer was “Neptunian”, but that might be wrong. Let’s recheck:

- Eyes: Parents $ Tt \times Tt $ (Plutonian), offspring can be $ tt $ (one eye) → not 100% same as parents (two eyes).
- Color: Parents $ GG \times gg $ (Plutonian), offspring $ Gg $ (green) → Mom is blue, so offspring not same as Mom → not 100%.
- Body Covering: Parents $ FF \times Ff $ (Plutonian), offspring $ FF, FF, Ff, Ff $ (fur) → same as both parents (fur) → 100% match.

Thus, only Plutonian parents for Body Covering have 100% offspring match. So the answer is Plutonian. But the handwritten answer was “Neptunian”—maybe a mistake. Alternatively, maybe the “Neptunian” is correct, but I misread the table. Wait, the table has “Plutonian Dad’s Phenotype” and “Plutonian Mom’s Phenotype”, so if Allen’s family is Neptunian, their phenotypes would be different. But the problem says “only one set of parents could possibly be Allen’s”—so the parents (Plutonian) for Body Covering are the only ones with 100% offspring match. Thus, Allen’s family is Plutonian.

# Brief Explanations:
To determine Allen’s family, we analyze each trait’s Punnett square and phenotype consistency:

1. **Number of Eyes (Trait a):** Parents ($ Tt \times Tt $) can produce offspring with $ tt $ (one eye), so not 100% same as parents (two eyes).
2. **Color of Body (Trait b):** Parents ($ GG \times gg $) produce offspring ($ Gg $, green), but the mother’s phenotype is blue (not matched), so not 100%.
3. **Body Covering (Trait c):** Parents ($ FF \times Ff $) produce offspring ($ FF, FF, Ff, Ff $), all with “fur” (same as both parents’ phenotype). This is the only trait with 100% offspring-phenotype match to both parents.

Since only the Plutonian parents (for Body Covering) have a 100% chance of offspring matching their phenotype, Allen’s family is Plutonian.

# Answer:
Plutonian

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QUESTION IMAGE

Question

Explanation:

Trait a: Number of Eyes

Trait b: Color of Body

Trait c: Body Covering

Answer: