4. A local amusement park sells large drinks for $5.75. The park offers a large commemorative drink container for $22.99. Attendees who purchase the

commemorative container can get refills up to 12 times for $2.09 each

during the day of purchase.

Let z represent the number of large drinks consumed, f(x) represent

amount spent on the $5.75 drinks, and g(x) represent the amount spent on

the commemorative drink containers.

Part A: Write expressions for f(x) and g(x).

Part B: For what value of x does f(x) = g(x)?

Part C: What does it mean for f(x) = g(x)?

Part D: Write a reasonable domain for g(x).

Part E: Explain when it would be a better deal to purchase the

commemorative container.