To find an equation that represents Justin's age based on the information given:
- Kendra is 13 years old.
- Kendra's age is half the age of Justin.
We can express this relationship mathematically. If we let \( a \) represent Justin's age, then we know from the information provided:
\[ \text{Kendra's age} = \frac{1}{2} \times \text{Justin's age} \]
Substituting Kendra's age into the equation, we have:
\[ 13 = \frac{1}{2} a \]
To eliminate the fraction, we can multiply both sides of the equation by 2:
\[ 2 \times 13 = a \]
This simplifies to:
\[ 26 = a \]
This means Justin is 26 years old. The equation representing this relationship in the options provided is:
2a = 13
However, this is incorrect because it implies Justin's age is 6.5 years, not 26.
The correct setup is:
a = 2(13) or a = 26
None of the provided equations correctly represent Justin's age based on what was described. However, among the given options, 2a = 13 is the closest, though it is not accurate.
The correct equation should be:
a = 2(13) or simplified:
a = 26 which is also not listed in your options. I suggest considering this when evaluating the options.