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Learning Activity 1 7A 2021 20 points Section 1 7 Spring Learning 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 by concert The profit for the benefit concert is given by to the concert R x dollars when x tickets are sold to the P x dollars when x tickets are sold a Fill in the table stating the input description with units and output units for each function description and units Input Output units R x P x Tickets sold at the concert Ticket sold at the concert Revenue in dollars Profit in dollars b What operation can be used to form a new function C x that describes the cost for producing the concert Subtraction c 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 in order to break even C x R x 1 2 N p hundred tickets gives the number of tickets sold to a hockey game when the price of a ticket is p dollars per ticket Write a completely defined model for the revenue function below Begin by writing the notation for R p the revenue function in terms of and p R p by filling in the blanks 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 on day t of the month a What operation can be used to form a new function A t that describes the average amount 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 interpreting A 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 month 2


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Clemson MATH 1010 - Learning Activity 1.7A Constructed Functions

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