Let's solve the problem step-by-step.
1. Identify the data given:
- The percentage of adults who use the toothpaste is [tex]\( 11 \% \)[/tex].
- For children:
[tex]\[
\text{Proportion of children who use the toothpaste} = 0.06
\][/tex]
[tex]\[
\text{Total proportion of children surveyed} = 0.25
\][/tex]
2. Calculate the percentage of children who use the toothpaste:
[tex]\[
\text{Percentage of children who use the toothpaste} = \left(\frac{0.06}{0.25}\right) \times 100
\][/tex]
3. Perform the division:
[tex]\[
\frac{0.06}{0.25} = 0.24
\][/tex]
4. Convert to a percentage:
[tex]\[
0.24 \times 100 = 24 \%
\][/tex]
5. Compare the calculated percentage with the given options:
- [tex]\(A. \text{A greater percentage of children ( } 24 \% \text{ ) use the toothpaste.}\)[/tex]
- [tex]\(B. \text{A greater percentage of children ( } 40 \% \text{ ) use the toothpaste.}\)[/tex]
- [tex]\(C. \text{A smaller percentage of children ( } 6 \% \text{ ) use the toothpaste.}\)[/tex]
- [tex]\(D. \text{A smaller percentage of children ( } 8 \% \text{ ) use the toothpaste.}\)[/tex]
From the calculations, we see that 24% of children use the toothpaste, which matches option A.
So, the true statement is:
A. A greater percentage of children ( 24 \% ) use the toothpaste.
