Identify whether the chart reflects a constant or variable rate of change?Group of answer choicesVariableNeitherConstant

To determine whether the chart reflects a constant or variable rate of change, we need to analyze the changes in the values represented in the chart.

1. Identify the Changes: Look at the data points provided in the chart. Note how much the value changes as the independent variable (usually on the x-axis) increases.

2. Calculate Rate of Change: For each interval between the points, calculate the change in the dependent variable (y-axis) over the change in the independent variable (x-axis). This can be represented as: $\text{Rate of Change} = \frac{\Delta y}{\Delta x}$ where $\Delta y$ is the change in y-values and $\Delta x$ is the change in x-values for each interval.

3. Evaluate Consistency: Compare the calculated rates of change. If the rates are the same across all intervals, it indicates a constant rate of change. If the rates vary, it shows a variable rate of change.

Final Answer

• If the rates of change are the same: Constant
• If the rates of change differ: Variable
• If there's insufficient or no clear data change: Neither

Based on the analysis, select the appropriate choice from the group of answer choices provided.