Math-108- Chapter 1-IC-paper INSTRUCTION: 1) You may use a calculator and keep in mind that your grade will be based on your written solutions Solve all problems You want to document your solutions (i.e., show all steps). You may get only partial credit or no credit for a problem at all if your written solution lacks some essential steps 4) Please follow the directions for each problem: you want to make sure that you do what the problems ask you to do. 5) Submit the work before the due date. Late work will not be accepted. Section 1.1 (6pts=3+3) In Exercises 1-2, write the relationship using function nota- tion (that is, y is a function of x is written y = f (x)). 1. Number of molecules, m, in a gas, is a function of the volume of the gas, v. 2. Weight, w, is a function of caloric intake, c. ANSWER for # 1 ANSWER for # 2 Section 1.2 (part a) 6pts; part b) 5pts.) 8. Table 1.12 gives the populations of two cities (in thou- sands) over a 17-year period. (a) Find the average rate of change of each population on the following intervals: (i) 1996 to 2006 (ii) 1996 to 2013 (iii) 2001 to 2013 (b) What do you notice about the average rate of change of each population? Explain what the aver- age rate of change tells you about each population. Table 1.12 Year 1996 1998 2001 2006 2013 P 42 46 52 62 76 82 80 77 72 65