To determine the rate of change in a scenario like this, we typically look for the change in the number of contestants over time, typically represented by the number of episodes.
If the graph shows the number of contestants starting the season and how many are voted off each episode, the rate of change can usually be calculated as follows:
- Identify the change in the number of contestants (Δy) over a corresponding change in time (Δx, which represents the number of episodes).
- Calculate the rate of change using the formula:
\[ \text{Rate of Change} = \frac{\Delta y}{\Delta x} \]
This gives you the average rate of contestants voted off per episode.
For example, if you started with 10 contestants and voted off 2 contestants per week, the rate of change would be:
\[ \text{Rate of Change} = \frac{-2 \text{ contestants}}{1 \text{ episode}} = -2 \text{ contestants per episode} \]
If you can provide specific numbers from the graph, I can help you calculate the precise rate of change.