A reality TV show has a model where they vote off a number of contestants each week The graph shows how many contestants they start the season with and how many they vote off each episode. What is the rate of change

Question

Graph is 8 contestants to begin and drops by 1 each week

Answer 1

To determine the rate of change from the graph you described, we can analyze the information provided:

1. The initial number of contestants at the beginning of the season is 8.
2. Each week, the number of contestants decreases by 1.

The rate of change can be defined as the amount of change over time. In this case, the number of contestants decreases by 1 each week.

So, the rate of change is:

\[ \text{Rate of change} = \frac{\text{Change in contestants}}{\text{Change in time (weeks)}} \]

Here, the change in contestants per week is -1 (because it's decreasing), and the change in time is 1 week. Therefore, the rate of change is:

\[ \text{Rate of change} = \frac{-1}{1} = -1 \]

This means that the contestants are being voted off at a rate of 1 contestant per week. The negative sign indicates a decrease in the number of contestants over time.