To determine 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 as follows:
Let \( a \) represent Justin's age. According to the problem:
- Kendra's age is half of Justin's age: \( \text{Kendra's age} = \frac{1}{2} \times \text{Justin's age} \)
- Since Kendra is 13 years old, we can write the equation:
\[ 13 = \frac{1}{2}a \]
To express Justin's age in a standard equation form, we can multiply both sides by 2:
\[ 2 \times 13 = a \]
This simplifies to:
\[ 26 = a \]
Thus, the correct equation representing Justin's age should be rearranged from \( \frac{1}{2}a = 13 \) to line up with the options provided. The correct option from the choices given is:
\[ \frac{1}{2}a = 13 \]
So the correct response is:
1/2a = 13
(Start Fraction 1 over 2 End Fraction a equals 13)