Question

select the correct answer from each drop - down menu. a large manufacturing company models the number of workers it hired each year after 2010 using the function shown on the graph. complete the statements describing the situation. based on the model, the company hired approximately workers in 2019. the r² value for this model is 0.56, indicating that this is a good model of the data.

Explanation:

Step1: Determine the value of \(t\) for 2019

Since \(t\) is the number of years since 2010, for 2019, \(t = 2019 - 2010=9\).

Step2: Read the value from the graph

Looking at the graph, when \(t = 9\), the number of workers \(n\) is approximately 200.

Step3: Analyze the \(r^{2}\) value

The coefficient of determination \(r^{2}=0.56\). Generally, an \(r^{2}\) value close to 1 indicates a good - fit model. Since \(0.56\) is not very close to 1, it is not a good model of the data.

Answer:

Based on the model, the company hired approximately 200 workers in 2019. The \(r^{2}\) value for this model is 0.56, indicating that this is not a good model of the data.