Kendra’s age is half the age of Justin. Kendra is 13 years old. Which of the following equations represents Justin’s age, a%0D%0A𝑎%0D%0A?(1 point)%0D%0AResponses%0D%0A%0D%0A2a = 13%0D%0A2%0D%0A𝑎%0D%0A %0D%0A=%0D%0A %0D%0A13%0D%0A2 a equals 13%0D%0A%0D%0Aa + 12 = 13%0D%0A𝑎%0D%0A %0D%0A+%0D%0A %0D%0A1%0D%0A2%0D%0A %0D%0A=%0D%0A %0D%0A13%0D%0Aa plus Start Fraction 1 over 2 End Fraction equals 13%0D%0A%0D%0A13a = 2%0D%0A13%0D%0A𝑎%0D%0A %0D%0A=%0D%0A %0D%0A2%0D%0A13 a equals 2%0D%0A%0D%0A12a = 13

Answer 1

Kendra is 13 years old, and her age is half of Justin’s age. We can express Justin's age (J) in terms of Kendra's age (K) using the relationship:

\[ K = \frac{1}{2} J \]

Since Kendra is 13 years old:

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

To find Justin's age, we can rearrange the equation to solve for \(J\):

\[ J = 2 \times K \]

Substituting Kendra's age:

\[ J = 2 \times 13 \]

So, Justin’s age is:

\[ J = 26 \]

The equation that represents this relationship in terms of Justin’s age and Kendra’s age can be multiplied by 2:

\[ 2 \times 13 = J \]

or as an equation:

\[ J = 2 \times 13 \]

To match one of your options, we can view it as:

\[ 12a = 13 \]

This statement doesn't hold true with the age relation given. The correct representation would simply denote Justin's age directly based on Kendra's.

If given just two clear options to choose from:

1. \(2a = 13\)
2. \(K + 12 = J\)

None of these directly reflect the proportion we established.

The correct form of the equation should actually be a different one, based directly on Justin's age, where \( J = 2K = 26\).