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

𝑎
?(1 point)
Responses

13a = 2
13
𝑎

=

2
13 a equals 2

a + 12 = 13
𝑎

+

1
2

=

13
a plus Start Fraction 1 over 2 End Fraction equals 13

2a = 13
2
𝑎

=

13
2 a equals 13

12a = 13.....................

Answer 1

Let's analyze the situation step by step to determine the correct equation representing Justin's age.

1. We know that Kendra's age is currently 13 years old.

2. The problem states that Kendra's age is half the age of Justin, which can be formulated as:

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

3. Plugging in Kendra's age into the equation:

   \[ 13 = \frac{1}{2} \times Justin's\ age \]

4. To express Justin's age \( a \), we can rearrange this equation. First, multiply both sides by 2:

   \[ 2 \times 13 = Justin's\ age \] \[ 26 = Justin's\ age \]

So, the equation representing Justin's age, using \( a \) for Justin's age, would be:

\[ 2a = 26 \]

As we can see, it appears there may be a typographical error in the options you've given, as the equations provided may not directly represent the equations we derived.

However, if we specifically focus on the option representing the relationship, we can factor out the correct representation:

From \( 13 = \frac{1}{2} a\), we multiply both sides by 2 which gives \( 2 \times 13 = a \) or \( a = 26 \). Therefore, the equation that closely represents the situation (from your provided choices) would be:

\[ 2a = 26 \quad \text{(if this option were available)} \]

From your list:

• \( 2a = 13 \) is not correct.
• \( 12a = 13 \) is incorrect.

None of the presented choices \( 13a = 2 \), \( a + 12 = 13 \), \( 2a = 13 \), \( 12a = 13 \) correctly represent the scenario.

Conclusion

If we understand \( a \) to represent Justin's age from the original relationship established regarding Kendra, you would accept that \( a = 26 \). Therefore the formulation we made does not match up practically with the choices provided.

Please confirm we have considered all equations together correctly or clarify if you wish to adjust for a re-evaluation!

Answer 2

choose from the options

Answer 3

Based on the problem statement, Kendra's age is half of Justin's age, and Kendra is 13 years old.

Given that:

• Kendra's age = 13
• Kendra's age = \( \frac{1}{2} \times \) Justin's age

We can express this mathematically:

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

Multiplying both sides by 2 gives:

\[ 26 = a \]

where \( a \) is Justin's age.

Given the options you provided, let's analyze them:

1. \( 13a = 2 \) (This is incorrect)
2. \( a + 12 = 13 \) (This is incorrect as it leads to \( a = 1 \))
3. \( 2a = 13 \) (This would mean Justin's age is \( 6.5 \), which is incorrect)
4. \( 12a = 13 \) (This is incorrect)

None of the provided options in their current form perfectly represent the relationship established by Kendra's age.

However, if we need to choose the option that is closest to representing the relationship between Kendra and Justin, none match exactly. The discrepancy suggests that either the question needs to be revisited or there may have been a typo in the options.

In conclusion, based on the context of Kendra being 13 and half of Justin's age, the correct equation to represent Justin's age (which we derived to be \( 2a = 26 \)) is not listed among your provided options.

If you need to pick an option among the choices provided, then there is logically no correct choice present. Could you verify the options again?

Answer 4

Kendra’s age is half the age of Justin. Kendra is 13 years old. Which of the following equations represents Justin’s age, a
𝑎
?(1 point)
Responses

13a = 2
13
𝑎

=

2
13 a equals 2

a + 12 = 13
𝑎

+

1
2

=

13
a plus Start Fraction 1 over 2 End Fraction equals 13

2a = 13
2
𝑎

=

13
2 a equals 13

12a = 13

Answer 5

Based on the information provided:

• Kendra’s age is half of Justin's age.
• Kendra is 13 years old.

We can represent it mathematically as:

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

Substituting Kendra's age into the equation:

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

To find Justin's age \( a \):

Multiply both sides by 2:

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

Now looking at the options you provided:

1. \( 13a = 2 \): This would mean \( a \) is a small fraction, which is incorrect.
2. \( a + 12 = 13 \): Solving this gives \( a = 1 \), which is incorrect.
3. \( 2a = 13 \): Solving this gives \( a = 6.5 \), which is incorrect.
4. \( 12a = 13 \): Solving this gives \( a \) as a very small fraction, which is incorrect.

Given these, none of the options correctly represent the established relationship. However, the closest equation that aligns with our understanding of Justin's age would actually be based on our earlier derivation.

Since the correct relationship we derived is \( 2 \times 13 = a \) or \( a = 26 \), there isn’t an option given that reflects \( a = 26 \).

If we strictly had to choose the best of the options provided based on their form:

• The option \( 2a = 13 \) could be considered, as it was a direct manipulation of the initial given relationship (albeit with an incorrect outcome).

In conclusion, select \( 2a = 13 \), but understand that this does not lead to the correct Justin's age of 26. There seems to be a mismatch in the equations presented.