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If 117 out of 300 individuals express the recessive phenotype, what percentage will be homozygous recessive?

A. 58.5%
B. 78%
C. 19.5%
D. 39%

Sagot :

GinnyAnsweridn
To determine the percentage of individuals expressing the recessive phenotype who are homozygous recessive, you can follow these steps:

1. Identify the total number of individuals: You start with a population of 300 individuals.

2. Determine the number of individuals expressing the recessive phenotype: According to the problem, 117 individuals exhibit the recessive phenotype.

3. Calculate the percentage of individuals expressing the recessive phenotype who are homozygous recessive:
- First, divide the number of individuals showing the recessive phenotype by the total number of individuals. This gives the fraction of the population that is homozygous recessive.
- Next, to convert this fraction to a percentage, multiply the result by 100.

[tex]\[ \text{Percentage of homozygous recessive individuals} = \left(\frac{\text{Number of recessive individuals}}{\text{Total number of individuals}}\right) \times 100 \][/tex]

4. Using the given numbers:
[tex]\[ \text{Percentage} = \left(\frac{117}{300}\right) \times 100 \][/tex]

5. Simplifying this expression:
[tex]\[ \left(\frac{117}{300}\right) \times 100 = 39 \][/tex]

So, the percentage of individuals who are homozygous recessive is [tex]\(\boxed{39\%}\)[/tex].

The correct answer is:

D. 39%
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