A local fair charges a flat rate of $7.50 per person for admission to the fair grounds. In
order to play games or buy food, the fair sells tickets. The first 50 tickets a customer
buys cost $0.60 each. Starting with the 51st ticket, the price of a ticket drops to $0.50.
The fair offers a roll of 100 tickets for a flat rate of $50. Individuals can only purchase
up to 100 tickets at a time.
a. Write a function C(t) that models the cost (C) of attending the fair for four people
and purchasing t tickets.
b. Explain why this function must be a piecewise-defined function.
c. Graph the function.
d. Write the real-world domain and range of this function.
e. Is the flat cost of 100 tickets a good deal? How much money will it save you?
Explain how you know.
f. You and your family of four estimates that you need 120 tickets to enjoy
yourselves. Can you use this function to determine your cost? Explain your
answer.
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