2 What a Workout! Copyright © 2026 Pearson Education, Inc. 3. The entrepreneur also asks the consultant to model the growth in membership of the fitness club over time. The consultant prepares this table to represent the club’s growth by month. Month 1 2 3 4 5 6 7 Membership 240 288 346 415 498 597 717 a. Which exponential function would best model these projections? M(x) = 200(0.2)x M(x) = 200(1.2)x M(x) = 240(0.2)x M(x) = 240(1.2)x b. Discuss with a partner how you made your selection. Be sure to use an appropriate tone during your discussion. Summarize your discussion here. 4. The entrepreneur hopes to exceed the consultant’s growth projection. She plans an aggressive marketing campaign with a target of at least 500 paying members during the first month and a monthly growth rate of at least 30%. Which graph would best represent these targets? 5. Consider the expected growth of the club over a long period of time. Are the models used by the entrepreneur reasonable? Why or why not?
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