What a Workout! 1 Copyright © 2026 Pearson Education, Inc. What a Workout! Fitness classes are a fun and exciting way to meet friends while getting in shape. They can also be great business opportunities! An entrepreneur is opening a new fitness club in town, and she is considering several pricing options for the club’s group fitness classes. She is working with a consultant who uses exponential functions to model and visualize the club’s expansion. 1. The consultant has collected membership data in the first few months. 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. c. Using your chosen exponential function, determine in which month the club would be expected to exceed 1,000 members. d. Calculate the projected membership for that month. Round your answer to the nearest whole number. 2. The entrepreneur decides to charge $25 per month for each membership. The consultant’s exponential model for membership remains the same. a. Write a function R(x) to model the revenue each month from monthly membership fees. b. Use the model to estimate the revenue in Month 4. Round your answer to the nearest dollar.
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