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

2a = 13
2 a equals 13

13a = 2
13 a equals 2

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

a + 1/2 = 13

Answer 1

To determine Justin's age based on Kendra's age, we know that Kendra's age (13 years) is half of Justin's age. We can express this relationship as:

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

Since Kendra is 13 years old, we can set up the equation:

\[ 13 = \frac{1}{2} \times J \]

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

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

Now, let's express it in terms of the variable \(a\) representing Justin's age. The equation indicating that Kendra’s age is half of Justin’s age would be:

\[ a = 2 \times 13 \]

Thus, rewritten correctly in terms of \(a\), we can interpret that:

Justin's age (a) is given by: \[ 2a = 13 \]

So among the options provided, the correct equation representing Justin's age is:

2a = 13