To determine the equation that represents Justin's age given that Kendra is 13 years old and Kendra's age is half of Justin's age, we can set up the problem as follows:
Let \( a \) represent Justin's age. According to the information provided:
- Kendra's age is 13.
- Kendra’s age is half of Justin’s age, which can be represented as \( 13 = \frac{1}{2}a \).
To express this in a different form, we can multiply both sides by 2:
\[ 2 \cdot 13 = a \]
This simplifies to:
\[ 26 = a \]
So, the equation representing Justin's age is:
\[ a = 26 \]
Among the options you provided, the equation that fits is:
2a = 13
However, it seems more like the intention was to write an equation that directly represents Justin's age using Kendra's age, which would be:
a = 2 * 13
If the choices provided don't directly give a clear representation, then typically the form of \( 2a = 13 \) must be interpreting incorrectly. It should rather be:
a = 2 * 13
Nevertheless, based on your options, we can clarify that none of the equations provided directly represents Justin's age as derived from Kendra's. If the intent was to write Justin's age in relation to Kendra's using half-age expressions, then the mathematical expression should have been interpreted as \( a = 2 \times 13 \).
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