Question

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

Answer 1

Kendra's age is half that of Justin's age. If Kendra is 13 years old, we can express this relationship with the following equation:

If Kendra's age is \( K \) and Justin's age is \( a \), then:

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

Given that \( K = 13 \), the equation becomes:

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

To solve for \( a \) (Justin's age), you would multiply both sides of the equation by 2:

\[ a = 26 \]

So, the equation that represents Justin's age is:

\[ a = 2 \times 13 \]

Thus, Justin's age is 26 years old, and the equation relating to it can simply be expressed as:

\[ a = 2 \cdot 13 \]

or

\[ a = 26 \]

Choose the option that reflects this relationship if one is provided.

Answer 2

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

1/2a = 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 3

Given that Kendra's age is half the age of Justin, and Kendra is 13 years old, we can express this relationship mathematically.

We know:

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

Substituting Kendra's age (K = 13):

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

This equation can be rewritten to isolate \( a \):

Multiplying both sides by 2 gives:

\[ a = 2 \times 13 \]

This shows that Justin’s age \( a \) is 26.

Now, looking at the options you provided, the equation that matches this relationship is:

1. \( \frac{1}{2}a = 13 \)

So, the correct choice is:

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