Modeling with Piecewise Equations Individual Assignment Define 2 situations where piecewise mathematical Modeling would be useful. Try to provide answers that might fit well with your broad area of study. 1) 2) Use the following data to create a piecewise model Pt 1 Pt 2 Pt 3 Pt 4 Pt 5 Pt 6 Pt 7 400 600 800 1000 1200 1400 1600 $12 $15 $18 $24 $20 $16 $13 1) Draw the graph. 2) Insert two linear models 3) Find the equation for each model 4) Complete the function notation. () = ____________________, _____ ____________________, > _____ After you complete your model, you are given two new points, (200, $9) and ( 1800, 12). Add these points to your data set Pt 1 Pt 2 Pt 3 Pt 4 Pt 5 Pt 6 Pt 7 400 600 800 1000 1200 1400 1600 $12 $15 $18 $24 $20 $16 $13 With the addition of the two new data points answer one of the two questions: Question A: Explain why you believe these data points fit your model well enough to keep your model as is. OR Question B: Explain why the data points do not give