Q5. Student council is organizing its annual trip to an out-of-town concert. For the past 3 years, the cost of the trip has been $140 per person. At this price, all 200 seats on the train were filled. This year, student council plans to increase the price of the trip. Based on a student survey, council estimates that for every $10 increase in price, five fewer students will attend the concert. a. Write an equation to represent revenue, R, in dollars, as a function of the number of $10 increases, n. b. Determine an expression, in simplified form, for dR/dn and interpret it for this situation. c) Determine when R'(n) = 0. What information does this give the manager?

Q5. Student council is organizing its annual trip to an out-of-town concert. For the past 3 years, the cost of the trip has been $140 per person. At this price, all 200 seats on the train were filled. This year, student council plans to increase the price of the trip. Based on a student survey, council estimates that for every $10 increase in price, five fewer students will attend the concert. a. Write an equation to represent revenue, R, in dollars, as a function of the number of $10 increases, n. b. Determine an expression, in simplified form, for dR/dn and interpret it for this situation. c) Determine when R'(n) = 0. What information does this give the manager?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.7: Writing Exponential Functions

Problem 5GP

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