It seems like you've uploaded an image related to the topic of "Average Rate of Change." Let me analyze it to extract the relevant information and help with any problems on the sheet. Please give me a moment.The worksheet you provided focuses on average rate of change (AROC) and includes examples using three formats: tables, equations, and graphs. Here's a summary of the content:

1. Key Concept:
   The average rate of change between two points, $(x_1, y_1)$ and $(x_2, y_2)$, is calculated using the formula: $\text{AROC} = \frac{y_2 - y_1}{x_2 - x_1}$ This is essentially the slope of the line connecting the two points.

2. Examples:

   • Table: Find the AROC from $x = 2$ to $x = 3$ using provided data.
   • Equation: Use $f(x) = x^2 - 2$ to find AROC from $x = 4$ to $x = 2$.
   • Graph: Analyze a function over specific intervals by reading points and applying the slope formula.

3. Real-world Application:
   Example #1 involves analyzing attendance at a play over several weeks using a graph.

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Here are five related questions to expand your understanding:

1. How is the average rate of change related to instantaneous rate of change?
2. How does AROC differ for a linear function compared to a nonlinear function?
3. Can you calculate the AROC if one point is missing?
4. What does a positive or negative AROC tell you about the data?
5. How can AROC be used to predict trends in real-world scenarios?

Tip: Always label your points clearly when solving AROC problems to avoid calculation errors.