Clemson MATH 1010 - Learning Activity 1.7A Constructed Functions
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1Learning Activity 1.7A Section 1.7 Spring 2021 20 pointsLearning Activities help you to explore and practice with newly introduced concepts in a group setting. Before turning your paper in, check with each member of your group that you agree upon the answers.Directions: Directions: When you are asked for an operation, you should answer “addition”, “subtraction”,“multiplication”, “division”, or “composition”.1.The revenue for a benefit concert is given byR(x) dollars when x tickets are sold to theconcert. The profit for the benefit concert is given byto the concert.P(x) dollars when x tickets are solda. Fill in the table, stating the input description with units and output units for each function.R(x) P(x)Input:description and unitsTickets sold at the concert Ticket sold at the concertOutput:unitsRevenue in dollars Profit in dollars b. What operation can be used to form a new function C(x) , that describes the cost forproducing the concert? Subtractionc.Write the notation for the cost function C(x) , in terms of R(x) and P(x) . C (x) = R (x) – P (x)d. Write a completely defined model for C(x) . C (x) = R (x) – P (x) Dollars gives the cost of the concert when x tickets are sold.e. State an equation whose solution identifies the number of tickets that need to be sold inorder to break even. C (x) = R(x)22. N ( p) hundred tickets gives the number of tickets sold to a hockey game when the price of aticket is p dollars per ticket.Write a completely defined model for the revenue function,R( p) , by filling in the blanksbelow. Begin by writing the notation for R( p) , the revenue function, in terms ofand p .N ( p)R ( P ) = P dollars / 1 ticket N (P) x 100 gives the revenue(use function notation) (output units)from the sale of tickets to a hockey game, when the price of a ticket is. P dollars .3. S (t ) hundred dollars is the total amount of money spent by students at the college bookstore, where t is the day of the month.n(t ) students gives the number of students spending money at the college bookstore, onday t of the month.a. What operation can be used to form a new function A(t) , that describes the averageamount of money spent at the college bookstore by each student on day t of the month? Division b. Write an equation for A(t) , the average amount of money spent at the college bookstore by each student on day t of the month. Include the output units with the answer.A(t)  S(t) hundred dollars / N(t) dollars per student c.Write a sentence interpretingA(5)  n(5)  5.8 A (5) x n(5) = 5.8 gives the average amount of money spent at the college bookstore by each student on t day of the

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# Clemson MATH 1010 - Learning Activity 1.7A Constructed Functions

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