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To save the environment, the Lion’s Den Cafeteria sells an empty reusable 24-ounce plastic mug to...


To save the environment, the Lion’s Den Cafeteria sells an empty reusable 24-ounce plastic mug to student 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, what is the average cost per drink?

c. If a student buys the mug and uses it three times, what is the average cost per drink?

d. If a student buys the mug and uses it four times, what is the average cost per drink?

e. If a student buys the mug and uses it five times, what is the average cost per drink?

f. Does the average cost per drink increase or decrease as the mug is used more and more?

g. If the regular price of a 24-ounce soft drink is $0.89, then when does the student start saving money? (After how many drinks?)

h. 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.

i. If a student buys the mug and uses it every day for a semester, then what is the approximate average cost per drink? Assume there are 80 school days in a semester.

j. 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?

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Answer #1

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