Kendra’s age is half the age of Justin. Kendra is 13 years old. Which of the following equations represents Justin’s age, a

Question

?(1 point)
Responses

13a = 2
13 a equals 2

2a = 13
2 a equals 13

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

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

Answer 1

Since Kendra's age is 13 years and it is stated that Kendra’s age is half the age of Justin, we can set up the equation as follows:

Let \( a \) represent Justin's age.

Since Kendra's age (13) is half of Justin's age, we can express this relationship with the equation: \[ 13 = \frac{1}{2} a \]

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

Thus, the equation that represents Justin's age is: \[ 2a = 13 \]

However, to get \( a \) by itself, we'd rearrange it like this: \[ \frac{1}{2} a = 13 \]

Since the question asks which equation represents Justin's age \( a \), the correct choice is: \[ 2a = 13 \]

Therefore, the answer is: 2a = 13