lawn care\ndays after treatment number of weeds\n2 100\n4 26\n6 6\n8 2\n10 1\nbased on the graph of the…
lawn care\ndays after treatment number of weeds\n2 100\n4 26\n6 6\n8 2\n10 1\nbased on the graph of the regression model, which is true?\nthe number of weeds is decreasing by a multiplicative rate.\nthe number of weeds is increasing by a multiplicative rate.\nthe number of weeds is decreasing by an additive rate.\nthe number of weeds is increasing by an additive rate.
Answer
Explanation:
Step1: Analyze the data trend
As the days after treatment increase from 2 to 10, the number of weeds decreases from 100 to 1.
Step2: Check multiplicative or additive change
If it were an additive decrease, the difference in the number of weeds between consecutive time - points would be constant. But (100 - 26=74), (26 - 6 = 20), (6-2 = 4), (2 - 1=1), the differences are not constant. If it is a multiplicative change, we can see that the ratio of the number of weeds at different times is changing in a non - linear way. For example, (\frac{26}{100}=0.26), (\frac{6}{26}\approx0.23), (\frac{2}{6}\approx0.33), (\frac{1}{2}=0.5). The number of weeds is decreasing and the decrease is not by a fixed amount (not additive), but rather the number of weeds is being multiplied by a factor less than 1 each time, so it is decreasing by a multiplicative rate.
Answer:
The number of weeds is decreasing by a multiplicative rate.