A cross is made between a heterozygote, +++/abc, and a recessive homozygote, abc/abc. Analysis of the progeny gave the following results: + 450 + + C 10 a + c 70 + b c 210 + b 65 a + + 200 abc 460 ab+ 15 What is the map distance between the a and c genes? O 25.12 map units O 27.71 map units 29.39 map units O 32.53 map units None of the above

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### Progeny Analysis and Gene Mapping

A cross is made between a heterozygote, +++/abc, and a recessive homozygote, abc/abc. Analysis of the progeny gave the following results:

| Genotype | Progeny Count |
|---------|----------------|
| + + +     | 450                    |
| + + c      | 10                      |
| a + +      | 70                      |
| + b c      | 210                    |
| + b +      | 65                      |
| a + +      | 200                    |
| a b c      | 460                    |
| a b +      | 15                      |

**Question: What is the map distance between the a and c genes?**

**Options:**
- 25.12 map units
- 27.71 map units
- 29.39 map units
- 32.53 map units
- None of the above

**Explanation of the Calculation:**

Map distance between genes is calculated using the formula:

\[ \text{Map Distance} = \left( \frac{\text{Number of Recombinants}}{\text{Total Number of Offspring}} \right) \times 100 \]

For genes a and c, the recombinants are:

- + + c = 10
- a + + = 70
- + b + = 65
- a b + = 15

Thus, the number of recombinants is \(10 + 70 + 65 + 15 = 160\).

The total number of offspring is the sum of all progeny counts:

\[ 450 + 10 + 70 + 210 + 65 + 200 + 460 + 15 = 1480 \]

Now, applying the formula:

\[ \text{Map Distance} = \left( \frac{160}{1480} \right) \times 100 \approx 10.81 \text{ map units} \]

Since 10.81 map units is not an option provided, there's an oversight or error in given choices. Please review the progeny counts and sequences for a more accurate map distance.
Transcribed Image Text:### Progeny Analysis and Gene Mapping A cross is made between a heterozygote, +++/abc, and a recessive homozygote, abc/abc. Analysis of the progeny gave the following results: | Genotype | Progeny Count | |---------|----------------| | + + + | 450 | | + + c | 10 | | a + + | 70 | | + b c | 210 | | + b + | 65 | | a + + | 200 | | a b c | 460 | | a b + | 15 | **Question: What is the map distance between the a and c genes?** **Options:** - 25.12 map units - 27.71 map units - 29.39 map units - 32.53 map units - None of the above **Explanation of the Calculation:** Map distance between genes is calculated using the formula: \[ \text{Map Distance} = \left( \frac{\text{Number of Recombinants}}{\text{Total Number of Offspring}} \right) \times 100 \] For genes a and c, the recombinants are: - + + c = 10 - a + + = 70 - + b + = 65 - a b + = 15 Thus, the number of recombinants is \(10 + 70 + 65 + 15 = 160\). The total number of offspring is the sum of all progeny counts: \[ 450 + 10 + 70 + 210 + 65 + 200 + 460 + 15 = 1480 \] Now, applying the formula: \[ \text{Map Distance} = \left( \frac{160}{1480} \right) \times 100 \approx 10.81 \text{ map units} \] Since 10.81 map units is not an option provided, there's an oversight or error in given choices. Please review the progeny counts and sequences for a more accurate map distance.
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