To find an equation that represents Justin's age based on Kendra's age, we can start with the information given:
- Kendra is 13 years old.
- Kendra's age is half of Justin's age.
Since Kendra's age (13 years old) is half of Justin's age, we can represent Justin's age as \( a \). The relationship can be represented by the equation:
\[ Kendra's \ age = \frac{1}{2} \times Justin's \ age \] \[ 13 = \frac{1}{2}a \]
To solve for Justin's age (\(a\)), we can rearrange this equation.
However, looking at the provided responses, we can also express the equation directly in terms of \(a\):
If Kendra's age is half of Justin's, we can express that as: \[ Kendra's \ age = \frac{1}{2} \times a \] or \[ 2 \times Kendra's \ age = a \]
Substituting Kendra's age gives us: \[ 2 \times 13 = a \] which simplifies to: \[ a = 26 \]
From the options provided, none of them represents this relationship correctly. However, to express Justin's age correctly from Kendra's age being half, the equation is:
\[ 2a = 26 \]
So, among the provided choices, the closest valid equation based on Kendra's age being half of Justin's is actually the rearrangement of \( 2a = 13 \), which you can equate to find \(a\).
Since \(2a\) is supposed to equal Justin's age, the correct answer from your available options that best fits would be represented in the context of Justin achieving his age in terms of \(K\), but you would actually need to set:
None of the provided options correctly represent the situation as explained, but the right one would simply be \(a = 2 \times 13\).