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

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

2a = 13
2 a equals 13

13a = 2
13 a equals 2

a + 1/2 = 13

Answer 1

To determine which equation represents Justin's age (a), we know that Kendra is 13 years old and her age is half the age of Justin.

If Kendra's age is half of Justin's age, we can write this relationship as:

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

Substituting Kendra's age into the equation:

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

To solve for Justin's age (a), we can multiply both sides by 2:

\[ 2 \times 13 = a \]

This simplifies to:

\[ a = 26 \]

Thus, the correct equation that represents Justin's age is:

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

So, the correct response is:

1/2 a = 13