Question

Kendra’s age is half the age of Justin. Kendra is 13 years old. Which of the following equations represents Justin’s age, a
?(1 point)
Responses

12a = 13
Start Fraction 1 over 2 End Fraction a equals 13

13a = 2
13 a equals 2

2a = 13
2 a equals 13

a + 12 = 13

Answer 1

To find an equation that represents Justin's age based on the information given:

1. Kendra is 13 years old.
2. 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.