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 get refills up to 12 times for $2.09 each during the day of purchase. Let x 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.
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 get refills up to 12 times for $2.09 each during the day of purchase. Let x 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 get refills up to 12 times for $2.09 each during the day of purchase.
Let x 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.
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