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

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

13a = 2
13 a equals 2

2a = 13
2 a equals 13

1 answer

To find the equation that represents Justin's age, we know that Kendra’s age is half of Justin’s age.

Given:

  • Kendra's age = 13 years
  • Kendra's age = (1/2) * Justin's age

Let Justin's age be represented by \( a \).

From the relationship, we can write the equation as: \[ 13 = \frac{1}{2} a \]

To solve for \( a \), multiply both sides by 2: \[ 2 \cdot 13 = a \] \[ 26 = a \]

Therefore, Justin's age is 26 years.

The equation we derived is:

\[ 2a = 26 \]

However, it seems the closest option that accurately represents the relationship provided in the problem statement is:

\[ 2a = 13 \] (But this is incorrect based on our earlier analysis; the correct representation from Kendra's age should translate to Justin’s age being 26, hence \( 2a = 26 \)).

Final conclusion: None of the provided answer choices directly represent Justin's accurate age based on the relation given. The correct equation should reflect Justin's age as derived from Kendra's actual age.