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

2a = 13
2 a equals 13

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

13a = 2

Answer 1

To find Justin's age \( a \) based on the information given, we know that Kendra's age is half of Justin's age and Kendra is 13 years old.

The relationship can be expressed as:

\[
Kendra's\ age = \frac{1}{2} \times Justin's\ age
\]

Since Kendra is 13 years old, we can write the equation as:

\[
13 = \frac{1}{2} a
\]

To express this differently, you can multiply both sides of the equation by 2 to get rid of the fraction:

\[
2 \times 13 = a
\]
\[
a = 26
\]

So, the equation \( \frac{1}{2} a = 13 \) represents Justin's age.

Therefore the correct response is:

**Start Fraction 1 over 2 End Fraction a equals 13**