Based on the graph of the regression model that describes the relationship between the number of days after treatment and the number of weeds, we observe the following data points:
- On day 2, there are 100 weeds.
- On day 4, there are 26 weeds.
- On day 6, there are 6 weeds.
- On day 8, there are 2 weeds.
- On day 10, there is 1 weed.
When examining these data points, we can observe that the number of weeds is decreasing over time. Specifically, the decrease in the number of weeds seems to be proportional, which indicates an exponential decay. In exponential decay, the quantity decreases by a consistent percentage over equal intervals of time, i.e., it decreases by a multiplicative factor.
For instance, between day 2 (100 weeds) and day 4 (26 weeds), the number of weeds diminishes significantly. The same pattern is observed between each subsequent pair of data points, suggesting a consistent multiplicative rate of decrease.
Therefore, it is true that:
The number of weeds is decreasing by a multiplicative rate.
