The graph shows the data points in the table and the exponential regression model associated with the data.

 A 2-column table with 5 rows. The first column is labeled days after treatment with entries 2, 4, 6, 8, 10. The second column is labeled number of weeds with entries 100, 26, 6, 2, 1.	A graph shows days after treatment labeled 1 to 11 on the horizontal axis and number of weeds on the vertical axis. A line shows a downward trend. 
Based on the graph of the regression model, which is true?

The number of weeds is decreasing by a multiplicative rate. 
The number of weeds is increasing by a multiplicative rate. 
The number of weeds is decreasing by an additive rate. 
The number of weeds is increasing by an additive rate.

Based on the information provided, the correct statement is:

**The number of weeds is decreasing by a multiplicative rate.**

### Explanation:
1. **Exponential Regression Model:** The question mentions that the graph shows an exponential regression model. In an exponential model, the data changes by a constant multiplicative factor over time. This means the decrease (or increase) occurs by multiplying the previous value by a fixed number, rather than adding or subtracting a constant amount.

2. **Decreasing Trend:** The data shows the number of weeds decreasing from 100 to 1 over the span of 10 days, which is consistent with exponential decay, where the rate of decrease is multiplicative.

Given these points, the decrease in the number of weeds is by a multiplicative rate, as indicated by the exponential regression model.

Would you like further details or have any questions?

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Here are some related questions you might find helpful:
1. What is an exponential regression model, and how is it used?
2. How can you determine whether a dataset follows an exponential pattern?
3. What is the difference between multiplicative and additive rates of change?
4. How do you calculate the multiplicative rate of decrease in an exponential function?
5. What are common applications of exponential decay models in real-life scenarios?
6. How does the base of the exponential function affect the rate of decay or growth?
7. Can exponential growth or decay ever be linear, and why or why not?
8. How can you use logarithms to linearize an exponential model for easier interpretation?

**Tip:** When analyzing data trends, distinguishing between additive and multiplicative changes is crucial for selecting the appropriate model.

Explore how exponential regression models are used to analyze weed growth data, focusing on a dataset showing the number of weeds decreasing over time. Learn about exponential decay, multiplicative rates of change, and their applications in real-life scenarios. Suitable for advanced high school or college students.

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