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

2a = 13
2 a equals 13

13a = 2
13 a equals 2

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

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

1 answer

To determine the equation that represents Justin's age, given that Kendra’s age is half of Justin’s age and Kendra is 13 years old, we can set up the relationship as follows:

Let \( a \) represent Justin's age. According to the problem:

  • Kendra's age is half of Justin's age: \( \text{Kendra's age} = \frac{1}{2} \times \text{Justin's age} \)
  • Since Kendra is 13 years old, we can write the equation:

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

To express Justin's age in a standard equation form, we can multiply both sides by 2:

\[ 2 \times 13 = a \]

This simplifies to:

\[ 26 = a \]

Thus, the correct equation representing Justin's age should be rearranged from \( \frac{1}{2}a = 13 \) to line up with the options provided. The correct option from the choices given is:

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

So the correct response is:

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