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Average Cost Per Drink
To save the environment, the Lion's Den Cafeteria sells an empty reusable 24–ounce plastic mug to students for $2.99. Using the mug. a student can get a 24–ounce soft drink for a reduced price of 69 cents.
a) If a student buys the mug and uses it only once, then what is the cost for that one drink?
b) If a student buys the mug and uses it twice, then what is the average cost per drink?
c) Does the average cost per drink increase or decrease as the mug is used more and more?
d) If the regular price of a 24–ounce soft drink is 89 cents, then when does the student start saving money?
e) Write a rational expression for which the value of the expression is the average cost per drink and n is the number of times the mug is used.
f) If a student buys the mug and uses it every day for a semester, then what is the approximate average cost per drink?
g) If a professional student buys the mug and uses it every day for many years, then what value is the average cost per drink approaching?
h) Use a computer to create a graph showing the number of drinks purchased and the average cost per drink. Make sure that the graph illustrates your answer to part (g).
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