the graph shows the data points in the table and the exponential regression model associated with the data…
the graph shows the data points in the table and the exponential regression model associated with the data. lawn care days after treatment number of weeds 2 100 4 26 6 6 8 2 10 1 lawn care 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.
Answer
Explanation:
Step1: Analyze exponential regression model
Exponential functions follow $y = ab^x$. If $0 < b< 1$, it's a decay function.
Step2: Observe the data trend
As the number of days after treatment ($x$) increases, the number of weeds ($y$) decreases rapidly. In an exponential - decay model, the quantity decreases by a multiplicative rate. For example, if the function is $y = a(0.5)^x$, each time $x$ increases by 1, $y$ is multiplied by 0.5. In an additive - rate decrease, the amount of decrease would be a constant value each time, which is not the case here as the decrease from 100 to 26 (in 2 days) is different from the decrease from 26 to 6 (in 2 days).
Answer:
The number of weeds is decreasing by a multiplicative rate.