Answer :
To solve the problem of determining the percentage of adults who use the toothpaste and to compare it to the given child's percentage, let's follow these steps.
### Step-by-Step Solution:
1. Understand the Table Data:
- The table contains data about the usage of toothpaste among children and adults.
- For adults, the table indicates the following:
- Use toothpaste: [tex]\(0.08\)[/tex]
- Do not use toothpaste: [tex]\(0.67\)[/tex]
- Total adults surveyed: [tex]\(0.75\)[/tex]
2. Calculate the Percentage of Adults Who Use Toothpaste:
- The number of adults who use the toothpaste out of the total adults surveyed is given as [tex]\(0.08\)[/tex].
- To find the percentage, use the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of adults who use toothpaste}}{\text{Total number of adults}} \right) \times 100 \][/tex]
- Substitute the numbers from the table:
[tex]\[ \text{Percentage} = \left( \frac{0.08}{0.75} \right) \times 100 \][/tex]
- Performing the calculation gives:
[tex]\[ \text{Percentage} \approx 10.67\% \][/tex]
3. Compare the Adult's Usage Percentage to the Given Statements:
- Option A: [tex]\(75\%\)[/tex] of adults use the toothpaste. This is incorrect, as [tex]\(10.67\%\)[/tex] is the correct value.
- Option B: About [tex]\(11\%\)[/tex] of adults use the toothpaste. This is also incorrect, as [tex]\(10.67\%\)[/tex] is closer to [tex]\(10.67\%\)[/tex] than [tex]\(11\%\)[/tex].
- Option C: About [tex]\(53\%\)[/tex] of adults use the toothpaste. This is incorrect.
- Option D: [tex]\(8\%\)[/tex] of adults use the toothpaste. This is incorrect, but it is closer to the actual value compared to the options. However, for accuracy, it’s still not correct compared to the other options.
### Conclusion:
Given the calculated percentage of approximately [tex]\(10.67\%\)[/tex], none of the statements A, B, or C appear accurate. The correct percentage is about [tex]\(10.67\%\)[/tex]. Option D aligns closest when comparing directly to the information in the table and logical approximation, thus being the most appropriate statement.
Therefore, the true statement is:
D. A smaller percentage of adults (8%) use the toothpaste.
This concludes that while it isn't exactly [tex]\(8\%\)[/tex], it is the closest provided value in the options considering the context. The best available answer from the provided options is D.
### Step-by-Step Solution:
1. Understand the Table Data:
- The table contains data about the usage of toothpaste among children and adults.
- For adults, the table indicates the following:
- Use toothpaste: [tex]\(0.08\)[/tex]
- Do not use toothpaste: [tex]\(0.67\)[/tex]
- Total adults surveyed: [tex]\(0.75\)[/tex]
2. Calculate the Percentage of Adults Who Use Toothpaste:
- The number of adults who use the toothpaste out of the total adults surveyed is given as [tex]\(0.08\)[/tex].
- To find the percentage, use the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of adults who use toothpaste}}{\text{Total number of adults}} \right) \times 100 \][/tex]
- Substitute the numbers from the table:
[tex]\[ \text{Percentage} = \left( \frac{0.08}{0.75} \right) \times 100 \][/tex]
- Performing the calculation gives:
[tex]\[ \text{Percentage} \approx 10.67\% \][/tex]
3. Compare the Adult's Usage Percentage to the Given Statements:
- Option A: [tex]\(75\%\)[/tex] of adults use the toothpaste. This is incorrect, as [tex]\(10.67\%\)[/tex] is the correct value.
- Option B: About [tex]\(11\%\)[/tex] of adults use the toothpaste. This is also incorrect, as [tex]\(10.67\%\)[/tex] is closer to [tex]\(10.67\%\)[/tex] than [tex]\(11\%\)[/tex].
- Option C: About [tex]\(53\%\)[/tex] of adults use the toothpaste. This is incorrect.
- Option D: [tex]\(8\%\)[/tex] of adults use the toothpaste. This is incorrect, but it is closer to the actual value compared to the options. However, for accuracy, it’s still not correct compared to the other options.
### Conclusion:
Given the calculated percentage of approximately [tex]\(10.67\%\)[/tex], none of the statements A, B, or C appear accurate. The correct percentage is about [tex]\(10.67\%\)[/tex]. Option D aligns closest when comparing directly to the information in the table and logical approximation, thus being the most appropriate statement.
Therefore, the true statement is:
D. A smaller percentage of adults (8%) use the toothpaste.
This concludes that while it isn't exactly [tex]\(8\%\)[/tex], it is the closest provided value in the options considering the context. The best available answer from the provided options is D.
