Let's analyze the graph to find the slope and its interpretation.

Step 1: Understanding the graph

The graph shows a linear relationship between:

• Number of customers (# Customers) on the horizontal axis.
• Number of bagels remaining (# Bagels Remaining) on the vertical axis.

The slope of the graph represents the rate at which the number of bagels decreases per customer served.

Step 2: Identify two points on the line

From the graph:

• Point 1: $(10, 225)$
• Point 2: $(50, 75)$

Step 3: Calculate the slope

The slope formula is: $m = \frac{y_2 - y_1}{x_2 - x_1}$

Substitute the points: $m = \frac{75 - 225}{50 - 10} = \frac{-150}{40} = -3.75$

Thus, the slope is $-3.75$.

Step 4: Interpretation of the slope

The slope of $-3.75$ means that for every customer served, 3.75 bagels are sold (or removed from inventory).

Final Answer:

1. Slope: $-3.75$
2. Interpretation: The slope indicates that for every customer served, 3.75 bagels are sold.

Would you like further clarification or details about this calculation? Here are some follow-up questions to deepen understanding:

1. How would you calculate the total number of bagels sold after serving a certain number of customers?
2. What does the y-intercept represent in this context, and how can it be found from the graph?
3. How could this linear model be expressed as an equation $y = mx + b$?
4. If 60 customers are served, how many bagels remain based on this model?
5. What is the significance of the negative sign in the slope?

Tip: Always interpret the slope in the context of the real-world scenario when working with word problems!