Let's break down the problem step by step using the relative frequency table provided.
### Step 1: Understand the Given Data
From the table, we have the relative frequencies (proportions relative to the total number surveyed):
- Adults who can swim: [tex]\(0.34\)[/tex]
- Adults who cannot swim: [tex]\(0.06\)[/tex]
- Children who can swim: [tex]\(0.48\)[/tex]
- Children who cannot swim: [tex]\(0.12\)[/tex]
### Step 2: Calculate the Total Proportion of People Who Can Swim
To determine the total proportion of people who can swim, we sum the relative frequencies of adults and children who can swim:
[tex]\[
\text{Total who can swim} = (\text{Adults who can swim}) + (\text{Children who can swim})
\][/tex]
Thus,
[tex]\[
\text{Total who can swim} = 0.34 + 0.48 = 0.82
\][/tex]
### Step 3: Convert the Total Proportion to Percentage
To find the percentage of people who can swim, we multiply the total proportion by [tex]\(100\)[/tex]:
[tex]\[
\text{Percentage who can swim} = 0.82 \times 100 = 82\%
\][/tex]
### Step 4: Select the Correct Answer
Based on the calculations, the correct percentage of the people surveyed who can swim is:
[tex]\[
\boxed{82\%}
\][/tex]
Therefore, the correct answer is:
[tex]\[ \text{B. } 82\% \][/tex]
