Student: Date: Using Recursion in Models and Decision Making: Relationships in Data Recursion and Linear Functions 1. Coen decides to take a job with a company that sells magazine subscriptions. He is paid $20 to start selling and then earns $1.50 for each subscription he sells. Fill in the following table, showing the amount of money (M) Coen earns for selling n subscriptions. Use the process column to note what is happening in each line. n Process Mn O Mo = M1 = M2 = M3 = M4 = 2. Write a recursive rule for the amount of money Coen can earn selling magazine subscriptions. 3. REFLECTION: The rule in Question 2 defines a term (M, + 1) with respect to the term that precedes it (Mn). Write a rule that defines a term (M,) with respect to the term that precedes it (Mn - 1)? How is this rule similar to and different from the rule you wrote in Question 2? 4. Write an explicit function rule for the nth term in the sequence describing the amount of money Coen can earn. Describe any domain restrictions in your rule. How is this rule related to the rules you wrote in Question 2