To find the equation that represents Justin's age, given that Kendra’s age is half of Justin's age and Kendra is 13 years old, we can set up the relationship mathematically.
Let \( a \) represent Justin's age. According to the information given:
Kendra’s age (13 years) is half of Justin’s age: \[ 13 = \frac{1}{2} a \]
To eliminate the fraction, we can multiply both sides of the equation by 2: \[ 2 \times 13 = a \] \[ 26 = a \]
Thus, the equation that represents Justin’s age can be rearranged to: \[ a = 26 \]
Referring to the possible responses, the correct choice that best represents this relationship is: \[ 2a = 13 \]
However, this option doesn't correctly represent Justin's age; it represents half Justin's age equated to Kendra's age.
None of the provided equations accurately represent Justin's age directly as \( a \) or \( a = 26 \). If we were to formulate based on Kendra’s age being half of Justin’s, we would actually use:
\[ 2 \times 13 = a \]
In summary, the closest equation that corresponds to the original relationship (Kendra's age being half of Justin’s) is rearranged correctly as \( a = 2 \times 13 \), but since that's not an option, none fit perfectly. However, if looking to express it from the angle of Kendra's half relationship, we could have referenced it as:
- \( 13 = \frac{1}{2} a \) or rearrange to \( a = 2 \times 13 \).
Since this was not listed, the first option, while flawed, offers a direction toward creating the equivalent.
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