https://file.aiquickdraw.com/mathbot/file/1726181996398fi5nfime.jpg

We are given that Kenya has $25 and the music downloads cost $0.75 each. Kenya wants to download enough songs to still have $13 left to spend.

### Step 1: Set up the equation

Kenya has $25, and she wants to still have $13 after downloading songs. So the amount spent on downloading songs is:

\[
25 - 13 = 12 \, \text{dollars}.
\]

Each song costs $0.75, so if $ x $ represents the number of songs, then the total cost of downloading $ x $ songs is:

\[
0.75x \leq 12.
\]

### Step 2: Solve the inequality

To find out how many songs Kenya can download, solve the inequality:

\[
0.75x \leq 12.
\]

Divide both sides by 0.75:

\[
x \leq \frac{12}{0.75} = 16.
\]

So, Kenya can download up to 16 songs. This means that the number of songs $ x $ Kenya can download is any number between 0 and 16, inclusive.

### Step 3: Identify the correct graph

The correct graph should show all values of $ x $ from 0 to 16, including 16. 

- The closed dot at 16 means 16 is included in the solution.
- The arrow should extend from 0 to 16.

The correct graph is **option D**, which represents the solution set $ x \leq 16 $ with a closed dot at 16.

---

Would you like further details or have any questions about this solution?

Here are some related questions to consider:

1. What would the inequality look like if each song cost $1?
2. How would the solution change if Kenya wanted to have $10 left instead of $13?
3. If Kenya had only $20 to begin with, how many songs could she download and still have $13 left?
4. How does the cost per song affect the maximum number of songs Kenya can download?
5. If Kenya buys 12 songs, how much money will she have left?

**Tip:** Always verify your solution with a quick calculation to ensure accuracy!

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

Learn how to solve a real-world inequality problem involving the cost of music downloads. This step-by-step solution shows how to calculate the maximum number of songs that Kenya can download and still have money left. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation