https://file.aiquickdraw.com/mathbot/file/1725478105043kbmsgujq.jpg

Let's break down the problem step by step.

### Problem:
Kenya has $25, and music downloads cost $0.75 each. You need to find out how many songs can be downloaded while still having at least $13 left to spend. Then, select the correct graph that represents this scenario.

### Step 1: Set up the inequality.
Let $ x $ be the number of songs Kenya can download.

The cost of downloading $ x $ songs is $ 0.75x $.

Since Kenya needs to have at least $13 left, the inequality would be:
\[
25 - 0.75x \geq 13
\]

### Step 2: Solve the inequality.
Subtract 25 from both sides:
\[
-0.75x \geq 13 - 25
\]
\[
-0.75x \geq -12
\]
Divide both sides by -0.75, and remember to reverse the inequality sign:
\[
x \leq \frac{-12}{-0.75}
\]
\[
x \leq 16
\]

This means Kenya can download up to 16 songs.

### Step 3: Interpret the answer.
- The correct graph should show all possible values of $ x $ from 0 to 16, with the inequality being $ x \leq 16 $.

### Step 4: Match with the given graphs.
- Graph A shows values from 0 to 16 with a closed circle on 16 and an arrow extending to the left.
- Graph B, C, and D either show incorrect ranges or directions for the arrow.

### Conclusion:
The graph that best represents the solution is **Graph A**.

---

Do you have any questions or need further details? Here are five related questions that expand on the topic:

1. How would the inequality change if the song price increased to $1?
2. What if Kenya wanted to have at least $10 left instead of $13?
3. How would the problem change if Kenya started with $50?
4. What is the maximum number of songs Kenya could download if she didn't want to save any money?
5. How would the graph change if the inequality was strict (e.g., $ x < 16 $ instead of $ x \leq 16 $)?

**Tip:** Always double-check which direction the inequality symbol is pointing when solving, especially after multiplying or dividing by a negative number.

Kenya has $25. Music downloads cost $0.75 each. How many songs can she download and still have $13 left to spend? Select the graph that best represents the solution set.

Solve the algebra problem to determine how many songs Kenya can download with $25 while keeping at least $13. This problem involves setting up and solving an inequality, followed by interpreting the solution graph. Suitable for students in Grades 5-7.

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