2 Math in Motion Copyright © 2026 Pearson Education, Inc. 5. Suppose that a weekly discount applies to the rideshare cost after 5 days. The new rideshare function becomes Rd(x) = 10x + 2x 2 – 10(x – 5), for x > 5. a. Explain what this adjusted function means in a real-world context. b. Write the new total cost function, Td(x) for x > 5. c. Evaluate and compare T(6) and Td(6). What is the impact of the discount? 6. Sometimes the student gets reimbursed $5 per day from a scholarship for transportation costs. a. Write a new function Tr(x) to model the reimbursed total cost per day. b. Determine the reimbursed cost for 4 days and interpret the result. Explain your answer to a partner. Rephrase your partner’s response. How do your answers compare? 7. How can combining these cost functions help students manage their transportation budget more effectively?
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