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The image contains a word problem that involves a linear equation used to calculate the average time someone spends listening to music. The equation given is:

\[
y = \frac{1}{2}x + 3
\]

where:
- \( y \) represents the average time in hours someone spends listening to music when they are \( x \) years old.
- You are asked to find the average time someone who is 14 years old spends listening to music.

### Step-by-Step Solution:

1. **Substitute the age** \( x = 14 \) into the equation:

   \[
   y = \frac{1}{2}(14) + 3
   \]

2. **Calculate the product** \( \frac{1}{2} \times 14 = 7 \):

   \[
   y = 7 + 3
   \]

3. **Add the numbers** to find \( y \):

   \[
   y = 10
   \]

So, the average time someone who is 14 years old spends listening to music is 10 hours.

### Answer:
The correct answer is **10 hours**, but this option is not provided. Therefore, there might be a typo in the question or options. Based on the given choices and the correct calculation, the closest approximation could be made by revisiting the equation or verifying the given options.

### Would you like any further details or clarification? Here are 5 questions related to this type of problem:

1. How would the average time change if the person was 20 years old?
2. What does the slope \( \frac{1}{2} \) in the equation represent in real-life terms?
3. If you were given a different linear equation, how would you approach solving for \( y \)?
4. How could you determine the age \( x \) if you know the average time \( y \)?
5. How would you explain the significance of the constant term 3 in this equation?

**Tip:** Always double-check the options given in multiple-choice questions to ensure there are no errors in either the question or the provided options.

Learn how to solve a linear equation word problem involving the average time spent listening to music based on age. This problem covers key mathematical concepts like linear equations and includes a step-by-step solution. Suitable for students in Grades 7-9.

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