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The question asks to find the rate of change based on the graph provided, which shows the relationship between the number of customers and the amount of money Lainey has made at her lemonade stand.

### Solution:
The rate of change in a graph is the slope, which is calculated using the formula:

\[
\text{slope} = \frac{\text{change in } y}{\text{change in } x}
\]

Where:
- $ y $ represents the amount of money (in dollars)
- $ x $ represents the number of customers

From the graph:
- At 1 customer, the amount is $1.
- At 10 customers, the amount is $10.

Using the two points $(1, 1)$ and $(10, 10)$, we calculate the slope:

\[
\text{slope} = \frac{10 - 1}{10 - 1} = \frac{9}{9} = 1
\]

Thus, the rate of change is **1 dollar per customer**.

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

### Related Questions:
1. How do you interpret the slope of a line in a real-world context?
2. What is the significance of a slope of 1 in this situation?
3. Can the slope be negative in other contexts, and what would that mean?
4. How would the graph look if Lainey charged $2 per customer instead?
5. What is the y-intercept in this scenario, and what does it represent?

### Tip:
Always use two distinct points from the line to calculate the slope for the most accurate result.

Lainey set up a lemonade stand. The graph shows the amount of money in her cash register with respect to the number of customers Lainey has served. Find the rate of change.

This problem explores how to calculate the rate of change using a graph from a lemonade stand. Learn how the slope formula is applied, and understand the relationship between customers and money earned. Perfect for students in Grades 6-8.

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